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t 

I 






I' 






WELLS'S MATHEMATICAL SERIES 



Academic Arithmetic. 

Essentials of Algebra. 

Academic Algebra. 

New Higher Algebra. 

Higher Algebra. 

University Algebra. 

College Algebra. 

Advanced Course in Algebra. 

Essentiab of Plane Geometry. 

Essentials of Solid Geometry. 

Essentials of Plane and Solid Geometry. 

Complete Trigonometry. 

New Plane Trigonometry. 

New Plane and Spherical Trigonometry. 

Four-Place Logarithmic Tables. 

Six-Place Logarithmic Tables. 



D. C. HEATH & CO., Publishers. 



t-vYH 



o 



SIX PLACE 
LOGARITHMIC TABLES 



PRBPARBD BT 



WBBSXSR WKI,!^, S. B., 
PXOFB880K OF MaTHBMATICS, 
MA88ACHU8BTT8 IN8TXTUTB OP TbCBNOU>OY. 



1905 

AMERICAN SCHOOL OF CORRES PONDKNCB 

AT 

ARMOUR INSTITUTE OF TECHNOI^OGY 
CHICAGO U. S. A. ILLINOIS 






■e 



8^ 



^ 



OS 



HARVARD COLLEGE LIBRARY 

GIFT OF 

JAMES STURGI8 PRAY 



s^y it- "he /i^'-l 



7 i^ 



COPTBIOHT, 1891, 

By WEBSTER WEUA 



PRINTED IN 

UNITED STATES 

OF AMERICA 



^ 



INTRODUCTION. 



■•o«- 



I. USE OF THE TABXiE OF LOGARITHMS OF NUMBERS. 

This table (pages 2 to 16) gives the mantissse of the logarithms of all 
numbers of four figures from 1000 to 10000, calculated to six places of 
decimals. 

To find the logarithm of any nnmber of four figores. 

Find in the column N. .the first three figures of the given number. 
Then the required mantissa will be found in the corresponding horizontal 
line, in the vertical column headed by the fourth figure of the number. 

If only the last four figures of the mantissa are found, the first two 
may be obtained from the nearest mantissa above, in the same column, 
which contains six figures. 

Finally, prefix the proper characteristic. 

For example, log 140.8 = 2.148603; 

log .05837 = 8.766190 - 10. 

For numbers of one, two, or three figures, the column headed may 
be used ; for log 167 has the same mantissa as log 1670, log 8.3 the same 
mantissa as log 8300, and lo^ .9 the same mantissa as log 9000 ; thus, 

log 167 = 2.222716, log 8.3 = 0.919078, and log .9 = 9.954243 - 10. 

To find the logarithm of a nnmber of more than f onr flgorea. 

Required the logarithm of 3296.78. 

We find from the table, log 3296 = 3.517987 ; 

log 3297 = 3.518119. 

That is, an increase of one unit in the number produces an increase 
of .000132 in the logarithm. 

Then an increase of .78 of a unit in the number will produce an 
increase of .78 X .000132 in the logarithm, or .000103 to the nearest sixth 
decimal place. 

Whence, log 3296.78 = 3.517987 4- .000103 = 3.518090. 

iii 



IV 



INTRODUCTION. 



Note I. The foregoing method is tMued on the assumption that the differences of 
logarithms are proportional to the differences of their corresponding nombers, which, 
though not strictly accurate, is sufficiently exact for practical purposes. 

Note II. The difference between any mantissa in the table and the mantissa of 
the next higher number of four figures, is called the tabular difference. 

The following rule is derived from the above : 

Find from the table the mantissa of the first four significant figures, and 
the tabular difference, (See Note III.) 

Multiply the latter by the remaining figures of the numJ>er with a decimal 
point before them. (See Note IV.) 

Add the result to the mayUissa of the first four figures, and prefix the 
proper characteristic. 

Example. Find the logarithm of .002243076. 



Mantissa of 2243 = 350829 

15 



Tabular difference =: 194 

.076 



350844 



1164 
13 58 



Correction 



Result, 7.350844 - 10. 



= 14.744 

ss 15, nearly. 



Note m. The tabular difference may be conyeniently found as follows : 

Subtract the last figure of the mantissa from the last figure of the next greater, and 
then take the nearest integer, ending in that figure, to the number in the column D. in 
the same line. 

Thus, in the above example, the last figure of the mantissa of 2248 is 9, and of the 
next greater mantissa, 3 ; 9 from 13 leaves 4, and the nearest integer, ending in 4, to 
193, the number in the column D., is 194, the proper tabular difference. 

Note IV. In finding the correction to the nearest unites figure, the decimal por- 
tion may be omitted provided that, if it is equal to or greater than .6, the unites figure 
is increased by 1. 

Thus, 13.26 would be taken as 13 ; 30.5 as 31 ; and 22.803 as 23. 

To find the nomber corresponding to a logarithm. 

1. Required the number whose logarithm is 1.69355L 

Find in the table the mantissa 693551. 

In the corresponding line, in the column N., we find 493, the first 
three figures of the required number, and at the head of the column we 
find 8, the fourth figure. 

Since the characteristic is 1, there must be two figures to the left of 
the decimal point. 

Whence, number corresponding to 1.693551 = 49.38. 



INTRODUCTION. V 

2. Required the number whose logarithm is 3.950185. 

We find in the table the mantissa 950170, whose corresponding^ num- 
ber is 8916, and the mantissa 950219, whose corresponding number is 8917. 

That is, an increase of 49 in the mantissa produces an increase of one 
unit in the number corresponding. 

Then an increase of 15 in the mantissa will produce an increase of -—■ 

49 

of a unit in the number corresponding, or .31 nearly. 

Whence, number corresponding = 8916 + .31 = 8916.31. 
The following rule is derived from the above : 

Find from the table the next less mantissa, the four figures corresponding, 
and the tabular difference, (See Note III.) 

Subtra>ct the next less mantissa from the given mantissa, and divide the 
remainder by the tabular difference. (See Note VI.) 

Annex the quotient to the first four figures of the number, and point off 
the result. (See Note V.) 

Note V. The rules for pointing off are the reverse of the rules for characteristic ; 
they may be stated as follows : 

I. If ^10 18 not written after the mantissa^ add 1 to the characteristic, giving the 
number of places to the left of the decimal point. 

II. If ^10 is written after the mantissa, subtract the positive part of the character^ 
isticfrom 9, giving tfie number of ciphers to be placed between the decimal point and first 
significant figure. 

Example. Find the number whose logarithm is 7.427662 — 10. 



Kext less mantissa 
Tabxdar difference 



427662 

427648 ; four figures corresponding = 2677. 

163)14.000(.085 = .09, nearly. 
13 04 

960 



Result, .00267709. 



Note VI. The correction can usually be depended upon to two decimal places ; 
the division should be carried out to three decimal places in order to determine the 
last figure accurately. (See Note IV.) 



n. USE OF THE TABLE OF LOGARITHMIC SINES, COSINES, ETC. 

This table (pages 18 to 62) gives the logarithms of the sines, cosines, 
tangents, and cotangents of all angles at intervals of one minute from 0^ 
to 90**. 



VI 



INTRODUCTION. 



For angles between 0** and 45®, the degrees will be found at the top of 
the p^e, the minutes in the left-fiand column, and the functions in the 
columns designated by the names at the top; that is, sines in the first 
column, cosines in the second, tangents in the third, and cotangents in 
the fourth. 

For angles between 45° and 90°, the degrees will be found at the foot 
of the page, the minutes in the right-hand column, and the functions in 
the columns designated by the names at the foot; that is, cosines in the 
first column, sines in the second, cotangents in the third, and tangents in 
the fourth. 

The sines and cosines of all acute angles, the tangents of angles 
between 0° and 45°, and the cotangents of angles between 45° and 90°, 
being less than unity, the characteristics of their logarithms hare been 
increased by 10, and — 10 must be written after their mantissas ; in all 
other cases, the true value of the characteristic is given in the table. 



Thus, 



log sin 38° 37' 
logtan 66° 20' 
log cot 79° 3' 
log cos 85° 51' 



9.795259 - 10 ; 
0.358253 ; 
9.286624-10; 
8.859546 - 10. 



To find the logarithmic sine, cosine, tangent, or cotangent of any aente 
angle expressed in degrees, minutes, and seconds. 

Find from the table the logarithmic sine, cosinej tangent, or cotangent of 
the degrees and minutes, and the difference for 1" corresponding, (See 
Note VII. below.) 

Multiply this difference by the number of seconds. (See Note IV.) 

// sine or tangerU, add ) ^^ .^ correction. 

If cosine or cotangent, subtract ) 

Note VII. The columns immediately to the right of those headed "Sin.," 
**Co8.," and **Tan.," contain the respective differences for 1" ; the right-hand column 
of differences is also to be used with the column headed ** Cot." 

It will be observed that the differences do not stand in the same horizontal line 
with the logarithms, but opposite the intervals between consecutive logarithms. With 
the degrees at the top of the page, the difference next beloui should be taken ; with the 
degrees at the foot of the page, the difference next above. 

Note VIII. The rule given above assumes that the differences of the logarithmic 
functions are proportional to the differences of their corresponding angles, which, 
unless the angle is very near to 0° or 90°, is in general suflBciently exact for practical 
purposes. (See page x.) 



INTRODUCTION. 



YU 



1. Find logtaiil7**13'51". 

log tan ir 13' = 9.491180 - 10 

380 



D. 1" = 7.45 
51 



Eesult; 



9.491560 - 10 



745 
372 5 

379.95 = 380, nearly. 



2. Find log cos 66*^ 38' 23". 

log cos 66*^38' = 9.598368 - 10 

112 



D. 1" = 4.88 
23 



Kesult, 



9.598256 - 10 



14 64 
97 6 



112.24 = 112, nearly. 



Ta find the aonte angle corresponding to a given logarithmic sine, 
cosine, tangent, or cotangent 

Take from the table, if sine or tangent, the next less, if cosine or cotangent, 
the next greater, logarithmic function, the degrees and minutes corresponding, 
and the difference for 1". (See Note IX. below.) 

Find the difference between the given logarithm and that taken from the 
table, and dinide it by the difference for 1", giving the correction in seconds. 

Add the result to the degrees and minutes. 

Note IX. In searching for the next less (or greater) logarithm, attention must 
be paid to the fact that the functions are found in different columns according as the 
angle is below or above 46^. 

If, for example, the next less logarithmic sine is found in the column with ** Sin/' 
at the top, the degrees must be taken from the top of the page, and the minutes from 
the left-hand column; but if it is found in the column with *'Sin.** at the foot, the 
degrees must be taken from the foot of the page, and the minutes from the right-hand 
column. Similar considerations hold with respect to the other three functions. 

1. Find the angle whose log sin = 9.959345 - 10. 

9.959345 - 10 
Next less log sin = 9.959310 — 10 ; angle corresponding = 65® 36'. 

D. 1" = .97)35 (36.08 = 36.1, nearly. 

291 



590 
582 



Result, 65® 35' 36.1". 



800 



VIU 



INTRODUCTION. 

2. Find the angle whose log cot = 0.169602. 

Next greater log cot =3 0.169651 ; angle corresponding s 34° 6^. 

0.169602 



r>. 1" = 4.53)49(10.81 = 10.8, nearly. 

453 



3700 
3624 



Result, 34° 6' 10.8". 



760 



Note X. In finding the logarithmic sine of an angle between 86® and 90^, or the 
logarithmic cosine of an angle between 0° and 5^, it is better to obtain the correction 
by multiplying the difference between the next less and next greater logarithms by the 
number of seconds, and dividing the result by 60. 

In finding the angle corresponding in the same cases, the correction in seconds may 
be obtained by multipl3ring the difference between the given logarithm and that taken 
from the table by 60, and dividing the result by the difference between the next less 
and next greater logarithms. 

To find the logarithmic secant or cosecant of any acute angle. 

1 1 

Since sec x = and esc x = -: — , we have 

cos X sin X 

log sec X = colog cos as, and log esc x = colog sin x. 

Hence, to find the logarithmic secant, subtract the logarithmic cosine from 
10 — 10; and tofirtd the logarithmic^ cosecant y subtract the logarithmic sine 
from 10 - 10. 

Example. Find log sec 22** 38'. 

From the table, we find log cos 22** 38' = 9.965195 - 10. 

Subtracting from 10 - 10, log sec 22° 38' = 0.034805. 

Note XI. The logarithmic cotangent of an angle may be obtained by subtracting 
the logarithmic tangent from 10 — 10. 

To find the logarithmic functions of an angle not lying between the 
limits 0** and 90^ 

Any function of any angle may be expressed as a function of a certain 
acute angle ; and hence the table of functions of acute angles serves to 
determine the functions of angles of any magnitude whatever, positive or 
negative. 

Let it be required, for example, to find log sin 152** 16'. 

We have, sin 152** 16' = sin (90** + 62** 16') =*= cos 62** 16'. 



INTRODUCTION. ix 

Whence, log sin 162'' 16' = log cos 62^ 16' = 9.667736 - 10. 
Or we may proceed as follows : 

sin 162° 16' = sm(180*» - 27° 44') = sin 2r 44'. 

Note Zn. If the natural function is negative, as for example in the case of the 
cosine of an angle between 90° and 180°, there is no logarithmic function, strictly 
speaking. 

In the solution of examples inyolying such functions, we may proceed as if the 
functions were positire, and determine the algebraic sign of the result irrespective of 
the logarithmic work. 



m. USE OF THE TABLE OF NATURAL SINES, COSINES, ETC. 

This table (pages 64 to 78) gives the natural values of the sines, 
cosines, tangents, and cotangents of all angles at intervals of 1' from 0^ 
to 90% calculated for sines, cosines, and tangents to five places of deci- 
mals, and for cotangents to five significant figures. 

Its use is similar to that of the table of logarithmic functions, except 
that the tabular differences for 1" are not given, but are to be calculated 
from the table when required. 

1. Required tan 41° 27' 14". 

tan 4r 27' = .88317. 

The difference between this and tan 41** 2S' is 62. 

Correction for 14" = ^ x 52 = 12, nearly. 

60 I 

.88317 

12 



Result, .88329 

2. Required the angle whose cos = .45864. 

Next greater cos = .45865 ; angle corresponding = 62^42'. 

.45854 



11 

The difference between cos 62° 42' and cos 62° 43' is 26. 

Correction in seconds = — x 60 = 26.4, nearly. 

26 

Result, 62° 42' 25.4". 

Note Zm. To find a natural function to a greater degree of accuracy than is 
possible from the table of natural functions, we may find the logarithmic function of 
the angle, and take the number corresponding to the result. 



INTRODUCTION. 



IV. USE OF THE AUXILIARY TABLE FOR SMALL ANGLES. 

This table (page 79) gives the values of the expressions 

10 + log sin a; — log a? and 10 + log tan a; — log a?, 

X being expressed in seconds, for all angles at intervals of V from 0° to 
4** 59'. 

It may be used to find the logarithmic sines or tangents of angles 
between 0** and 5°, or the angles corresponding in the same cases, to a 
greater degree of accuracy than is possible from the table of logarithmic 
functions. (See Note VIII.) 

To find the logaritlunic sine or tangent of an angle between O'' and 6"^. 

Find from the auxiliary table the logarithm corresponding to the given 
function, add to the result the logarithm of the number of seconds in the angle, 
and write — 10 after the mantissa. 

Example. Find log tan 0° 43' 37". 

The logarithms corresponding to tan 0**43' and tan 0** 44' are 4.685697 

and 4.685599 ; the difference between which is 2. 

37 
Correction for 37" = — - x 2 ==! 1, nearly. 

Adding to 4.685597, the result is 4.685598. 
The given angle, reduced to seconds, is 2617". 

4.685598 ^ 10 
log 2617 = 3.417804 

Result, 8.103402 - 10 

This is correct to the sixth place of decimals ; the result by the table 
of logarithmic tangents is 8.103375 — 10. 

To find the angle corresponding to a given logaritimiic sine or tangent, 
when between 0"" and S"'. 

Find from the table of logarithmic functions the angle corresponding to the 
given logarithm, to the nearest second. 

Take from the auxiliary table the logarithm corresponding to this angle. 

Subtract the result from the given logarithm, and find the number corre- 
sponding to the differencey giving the required angle in seconds. 

Example. Find the angle whose log sin = 7.632366 — 10. 
• The angle corresponding is 0" 14' 45", to the nearest second. 



INTRODUCTION. xi 

The logarithm corresponding to sin 0** 14' 45" is 4.685673 - 10. 

7.632366 - 10 
4.685573 - 10 

2.946793 

The number corresponding to this logarithm is 884.69. 
Then the required angle is 884.69", or 0** 14' 44.69". 
This is correct to the second decimal place of seconds ; the result by 
the table of logarithmic sines is 0® 14' 45.08". 

Note XJV, The aboye methods serve to determine with accuracy the logarithmic 
cosine or cotangent of an angle between 85^ and 90^, or the angle corresponding in the 
same cases. 

To find accurately the logarithmic tangent of an angle between 85° and 00°, ^d 
the logarithmic cotangent of the angle as above, and subtract the result from 10 — 10. 
(Note XL) 

To find the angle corresponding to a logarithmic tangent in the same case, find the 
logarithmic cotangent of the angle (Note XI.), and find the angle corresponding to the 
result 

These methods also serve to determine the logarithmic cotangent of an angle 
between (P and 6°, or the angle corresponding in the same case. 



A TABLE 



CONTAINING THE 



LOGARITHMS OF NUMBERS 



FROH 1 TO 10,000. 



LOGARITHMS OF NUMBERS. 



N. 
xoo 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 


000000 


000434 


000868 


00 1301 


001734 


002166 


002598 
6894 


003029 


003461 


003891 


432 


zoz 


432 « 


475 « 


5181 


5609 


6038 


6466 


7321 


7748 


8174 


428 


I03 


8600 


9026 


9451 
01 3680 


$876 


010300 


01 0724 


01 1 147 


01 1570 


011993 


01 2415 


424 


103 


01 2837 


01 3259 


01 4100 


4521 


4940 


5360 


5779 


6197 


6616 


420 


104 


7033 


7451 


7868 


8284 


8700 


9116 


9532 


9947 


02 0361 


02 0775 


416 


X05 


02 1 189 


02 1603 


022016 


022428 


02 2841 


02 3252 


023664 


02 4075 


024486 


024896 


412 


Z06 


5306 


5715 


6125 


6533 


6942 


7350 


7757 


8164 


8571 


8978 


408 


107 


9384 


9789 


030195 


030600 


031004 


031408 


03 1812 


032216 


03 2619 


033021 


404 


X08 


033424 


03 3826 


4227 


4628 


5029 


5430 


5830 


6230 


6629 


7028 


400 


X09 


7426 


7825 


8223 


8620 


9017 


9414 


981 1 


040207 


040602 


040998 


397 


110 


041393 


041787 


042182 


042576 


042969 


043362 


043755 


044148 


044540 


044932 


393 


IIZ 


5323 


•5714 


6105 


6495 


6885 


7275 


7664 


8053 


8442 


8830 


3g? 


XX2 


9218 


9606 


9993 


050380 


05 0766 


05 1 153 


05 1538 


051924 


052309 


052694 


386 


XI3 


05 3078 


05 3463 


053846 


4230 


4613 


4996 


5378 
9185 


5760 


6142 


6524 


383 


XX4 


6905 


7^86 


7666 


8046 


8426 


8805 


9563 


9942 


060320 


379 


"5 


060698 


06 1075 


06 1452 


061829 


062206 


062582 


062958 


063333 


063709 


064083 


376 


xx6 


4458 
8186 


4832 


5206 
8928 


5580 


5953 


6326 


6699 


^ 7071 


7443 


7815 


373 


117 


8557 


9298 


9668 


070038 


070407 


07 0776 


07 1 145 


07 1514 


370 


XI8 


071882 


07 2250 


072617 


07 2985 


07 3352 


3718 


4085 


445 1 


4816 


5182 
8819 


366 


1x9 


5547 


5912 


6276 


6640 


7004 


7368 


7731 


8094 


8457 


363 


xao 


07 9181 


07 9543 


079904 


080266 


080626 


080987 


081347 


081707 


082067 


082426 


360 


xax 


08 2785 


083144 


083503 


3861 


4219 


4576 


4934 


5291 
8845 


5647 


6004 


357 


X22 


6360 


6716 


7071 


7426 


7781 


8136 


8490 


9198 


9552 


355 


"3 


9905 


090258 


09 061 1 


090963 


091315 


09 1667 


092018 


092370 


09 2721^ 


093071 


352 


124 


093422 


3772 


4122 


4471 


4820 


5169 


5518 


5866 


6215 


6562 


349 


125 


096910 


097257 


097604 


097951 


098298 


098644 


098990 


099335 


099681 


100026 


346 


126 


10 0371 


100715 


10 10^9 


10 1403 


10 1747 


10 2091 


102434 


102777 


103119 


3462 


343 


X27 


3804 


4146 


4487 


4828 


5169 


5510 
8903 


5851 


6191 


6531 


6871 


^l 


X28 


7210 


7549 


7888 


8227 


8565 


9241 


9579 


9916 


1 1 0253 


338 


1 29 


1 1 0590 


II 0926 


II 1263 


II 1599 


"1934 


1 1 2270 


II 2605 


1 1 2940 


" 3275 


3609 


335 


X30 


11.3943 


1 1 4277 


114611 


"4944 


II 5278 


115611 

8926 


1 1 5943 


1 1 6276 


116608 


II 6940 


333 


X3I 


7271 


7603 


7934 


8265 


5J95 


9256 


9586 


9915 
12 3198 

6456 


120245 


^^2 


Z32 


120574 
3852 


120903 


12 1231 


12 1560 


12 1888 


12 2216 


122544 
5806 


12 2871 


3525 


328 


133 


4178 


4504 


4830 


C156 


5481 


6131 


6781 


325 


134 


7105 


7429 


• 7753 


8076 


8399 


8722 


9045 


9368 


9690 


130012 


323 


135 


13033+ 


130655 


130977 


13 1298 


13 1619 


13 1939 


132260 


132580 


132900 


13 3219 


321 


X36 


3539 


3858 


4177 


4496 


4814 


5133 
8303 


S618 


5769 
8934 


6086 


6403 


318 


137 


6721 


7037 


7354 


7671 


7987 


9249 


9564 


3'6 


138 


9879 


14 0194 


140508 


14 0822 


14 1 136 


14 1450 


141763 


142076 


14 2389 


14 2702 


314 


X39 


143015 


3327 


3639 


3951 


4263 


4574 


4885 


5196 


5507 


5818 


3" 


X40 


14 6128 


146438 


14 6748 


14 7058 


14 7367 


14 7676 


147985 


148294 


148603 


14 891 1 


309 


141 


9219 


9527 


9835 


15 0142 


150449 


15 0756 


15 1063 


15 1370 


15 1676 


15 1982 


307 


142 


152288 


« 5 2594 


15 2900 


3205 


35>o 


?5'5 


4120 


4424 


4728 


5032 
8061 


305 


143 


5336 


5640 
8664 


5943 


6246 


6549 


6852 


7154 


7457 


7759 


303 


144 


8362 


8965 


9266 


9567 


9868 


16 0168 


160469 


16 0769 


161068 
ft 4055 


301 


145 


16 1368 


16 1667 


16 1967 


162266 


162564 


16 2863 


163161 


163460 


163758 


299 


146 


4353 


4650 


4947 


5244 


5541 


5838 
8792 


6134 


6430 


6726 


7022 


297 


147 


7317 


7613 


7908 


8203 


8497 


9086 


9380 


9674 


9968 


295 


148 


1 7 0262 


170555 


170848 


171141 


I7H34 


17 1726 


17 2019 


172311 


172603 


172895 


293 


149 


3186 


3478 


3769 


4060 


4351 


4641 


4932 


5222 


5512 


5802 


291 


150 


17 6091 


17 6381 


1 7 6670 


176959 


177248 


17 7536 


177825 


178113 


17 8401 


178689 


289 


151 


Jv^ 


9264 


9552 


9839 


18 0126 


180413 


180699 


180986 


18 1272 


18 1558 


287 


152 


18 1844 


1S2129 


18 2415 


182700 


2985 


3270 


3555 


3839 


4123 


4407 


285 


153 


4691 


4975 


1^ 


5542 
8366 


C825 


6108 


6391 


6674 


6956 


7239 


283 


154 


7521 


7803 


8647 


8928 


9209 


9490 


9771 


19 0051 


281 


155 


190332 


190612 


190892 


19 1171 


19 145 1 


19 1730 


19 2010 


19 2289 


19 2567 


192846 


279 


156 


3.125 


3403 


3681 


3959 


4237 


4514 


4792 


5069 


5346 


5623 


278 


157 


5900 


6176 


6453 


6729 


^005 


7281 


7556 


7832 


8107 


8382 


276 


158 


8657 


8932 


9206 


9481 


9755 


200029 


200303 


200577 


200850 


20 1124 


274 


159 

N. 


20 1397 


20 1670 


20 1943 


202216 


202488 


2761 


3033 


3305 


3577 


3848 


272 





1 


2 


3 


4 


6 


6 


7 


8 





D. 



LOGARITHMS OF NUMBERS. 



8 



N. 
z6o 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 

27 X 


204120 


204391 


204663 


204934 


205204 


205475 
8173 


205746 
8441 


2060x6 


206286 


206556 


z6z 


6826 


7096 


7365 


7634 


7904 


8710 


8979 


9247 


269 


x6a 


9515 
21 2188 


9783 


21 0051 


21 0319 


21 0586 


210853 


21 IX2I 


2X X388 


21 X654 


2X I92X 


267 


163 


212454 


2720 


2986 


3252 


3518 


3783 


4049 


43x4 


4579 


266 


Z64 


4844 


5109 


5373 


5638 


5902 


6166 


6430 


6694 


6957 


722 X 


264 


165 


217484 


21 7747 


21 8010 


21 8273 


21 8536 


21 8798 


21 9060 


21 9323 


2X 9585 


21 9846 


262 


x66 


220108 


22 0370 


220631 


220892 


221153 


22 1414 


22 1675 


22 X936 


22 2X96 


222456 


261 


167 


2716 


2976 


3236 


3496 


3755 


4015 


4274 


4533 


4792 


505 X 


259 


168 


5309 


5568 


5826 
8400 


6084 


6342 


6600 


6858 


7"5 


7372 


7630 


258 


169 


7887 


8144 


8657 


8913 


9170 


9426 


9682 


9938 


230193 


256 


170 


230449 


230704 


230960 


23 1215 


23 1470 


23x724 


23 1979 


232234 


232488 


23 2742 


255 


171 


2996 


3250 
J781 

8297 


3504 


* 3757 


4011 


4264 


45«7 


4770 


50*23 


5276 


253 


17a 


& 


6033 


6285 


6537 


6789 


7041 


7292 


7544 


7795 


252 


173 


8548 


8799 


9049 


9299 


9550 


9800 


240030 


240300 


250 


174 


240549 


240799 


241048 


241297 


24x546 


241795 


242044 


242293 


2541 


2790 


249 


175 


243038 


243286 


243534 


243782 


244030 


244277 


244525 


244772 


2450x9 


245266 


248 


176 


5513 


5759 


6006 


6252 


6499 


6745 


699X 


7237 


7482 


7728 


246 


177 


7973 


8219 


8464 


8709 


8954 


9198 


9443 


9687 


9932 


250x76 


245. 


178 


250420 


250664 


250908 


25 1 151 
3580 


25 1395 


25 1638 


25 i88x 


25 2x25 


252368 


2610 


243 


179 


2853 


3096 


333^ 


3822 


4064 


4306 


4548 


4790 


5031 


^7 


180 


25 5273 


255514 


^5 5755 


25 5996 


25 6237 


256477 


25 67x8 


256958 


25 7x98 


25 7439 


241 


i8z 


7679 


7918 


8158 


8398 


8637 


8877 


9116 


9355 


9594 


9833 


239 


i8a 


260071 


260310 


260548 


26 0787 


26 1025 


26 1263 


26 X501 


26 1739 


26 1976 


26 22x4 


238 


183 


2451 


2688 


2925 


3162 


3399 


3636 


3873 


4x09 


4346 


4582 


237 


184 


4818 


5054 


5290 


5525 


5761 


5996 


6232 


6467 


6702 


6937 


235 


X85 


26 7172 


267406 


267641 


26 7875 


26 81 10 


268344 


26 8578 


268812 


269046 


26 9279 


234 


186 


9513 


9746 


9980 


270213 


270446 


270679 


2709x2 


271x44 


27 X377 


27 X609 


233 


187 


27 1842 


272074 


27 2306 


2538 
4850 


2770 


300X 


3233 


3464 


3696 


3927 


232 


188 


4158 


4389 


4620 


5081 


53" 


5542 


5772 
8067 


6002 


6232 


230 


189 


6462 


6692 


6921 


7151 


7380 


7609 


7838 


8296 


8525 


229 


190 


27 8754 


27 8982 


27 921 1 
281488 


27 9439 


279667 


279895 
282169 


280x23 


28 035 X 


28 0578 
2849 


280806 


228 


191 


28 1033 


28 1 261 


28 1715 


28 X942 


2396 


2622 


3075 


227 


19a 


3301 


3527 


3753 


3979 


4205 


4431 


4656 


4882 


5107 


5332 


226 


193 


5557 
7802 


5782 
8026 


6007 


6232 


6456 


668x 


6905 


7x30 


7354 


7578 


225 


194 


8249 


8473 


8696 


8920 


• 9143 


9366 


9589 


9812 


223 


195 


290035 


290257 


290480 


29 0702 


290925 


29 1 147 


291369 


29 X591 


29 X813 


292034 


222 


196 


2256 


2478 
4687 


2699 


2920 


314X 


3363 


3584 


3804 


4025 


4246 


22 X 


197 


4466 


4907 


5127 


5347 


5567 


5787 


6007 


6226 


6446 


220 


Z98 


^5 


6884 


7104 


7323 


7542 


7761 


7979 


8198 


84x6 


8635 


2x9 


199 


8853 


9071 


9289 


9507 


9725 


9943 


300161 


300378 


300595 


300813 


2X8 


200 


30 1030 


301247 


301464 


301681 


301898 


3021x4 


302331 


302547 


302764 


302980 


2x7 


20Z 
aoa 


3»96 
5355 


3412 
5566 


3628 
5781 


3844 
5996 


4059 
6211 


4275 
6425 


449* 
^6639 


4706 
6854 


4921 
7068 


5x36 
7282 


2X6 

2x5 


203 


7496 


7710 


7924 


8351 


8564 


8778 


899X 


9204 


94x7 


2x3 


ao4 


9630 


9843 


310056 


31 0268 


31 0481 


310693 


3x0906 


3X xxx8 


3X X330 


31 X542 


2X2 


ao5 


31 1754 


31 1966 


31 2177 
4289 


31 2389 


31 2600 


31 2812 


313023 


3x3234 


313445 


3X 3656 


2IX 


306 


3867 


4078 


4499 


4710 


4920 


5130 


5340 


5551 


5760 


210 


207 


5970 


6180 


6390 


6599 


6809 


7018 


7227 


7436 


7646 


7854 


209 


ao8 


8063 


8272 


8481 


8689 


8898 


9106 


9314 


9522 


9730 


9938 


208 


309 


320146 


32 0354 


32 0562 


320769 


320977 


321x84 


32 139X 


32 X598 


32 1805 


322012 


207 


azo 


32 2219 


322426 


32 2633 


32 2839 


32 3046 


32 3252 


323458 


32 3665 


32 3871 


324077 


206 


2ZZ 


4282 


4488 


4694 


4899 


5x05 


53"o 


5516 


5721 


5926 


613X 


205 


2Z2 


5336 


^54* 


6745 


6950 


7155 


7359 


7563 


7767 
9805 


7972 


8176 


204 


2x3 


8380 


8583 


8787 
330819 


8991 


9194 


9398 


9601 


330008 


33 021 X 


203 


2X4 


330414 


330617 


33 >022 


33 «225 


33 X427 


33 X630 


33 X832 


2034 


2236 


202 


2Z5 


332438 


332640 


332842 


333044 


333246 


33 3447 
5458 


33 3649 


33 3850 


33 405 X 


334253 


202 


2Z6 


4454 


4655 


4856 


5057 


5257 


5658 


5859 


6059 


6260 


20X 


217 


6460 


6660 


6860 


7060 


7260 


7459 


7659 


7858 


8058 


8257 


200 


2Z8 


8456 


8656 


8855 


9054 


9253 


945> 


9650 


9849 


340047 
2028 


340246 


199 


21*9 

N. 


340444 


340642 


340841 


341039 


341237 


34 1435 


34x632 


34x830 


2225 


198 

D. 





1 


2 


3 


4 


/5 


6 


7 


8 


9 



LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 


aao 


342423 


342620 


342817 


343014 


343212 


343409 


343606 


343802 


34 3999 


344*96 


197 


221 


4392 


4589 


4785 


^4981 


5178 


5374 


5570 


5766 


5962 


6*57 


196 


222 


6353 


6549 


6744 


6939 
8889 


7»35 


7330 


7525 


7720 


7915 


81 10 


*95 


223 


8305 


8500 


8694 


9083 


9278 


9472 


9666 


9860 


350054 
1989 


*94 


224 


350248 


350442 


350636 


350829 


35 1023 


35 1216 


35 «4XO 


35 1603 


35 *796 


*93 


225 


35 2183 
4108 


35 2375 


35 2568 


35 2761 


35 2954 


35 3>47 


35 3339 


35 3532 


353724 


35 39*6 


*93 


226 


4301 


4493 


4685 


4876 


5068 


5260 


5452 


5643 


5834 


192 


227 


6026 


6217 


6408 


6599 


6790 


6981 


7172 


7363 


7554 


7744 


191 


228 


7935 


8125 


8316 


8506 


8696 


8886 


9076 


9266 


9456 


9646 


190 


229 


9«35 


360025 


360215 


360404 


36 0593 


360783 


360972 


36 1 161 


36 1350 


36 *539 


189 


230 


36 1728 


36 191 7 


36 2I0q 
3988 


36 2294 


362482 


36 2671 


36 2859 


363048 


36 3236 


363424 


188 


231 


3612 


3800 


4176 


4363 


455* 


4739 


4926 


5**3 


530* 


188 


232 


5488 


5675 


5862 


6049 


6236 


6423 


6610 


6796 


6983 


7*69 


187 


233 


7356 


7542 


7729 


7915 


8101 


8287 


8473 


86591 


884; 


9030 
370883 


186 


234 


9216 


9401 


9587 


9772 


9958 


37 0143 


37 0328 


370513 


370698 


185 


235 


371068 


371253 


37 H37 


37 1622 


371806 


371991 


372175 


372360 


372544 


37 2728 


*84 


236 


2912 


3096 


3280 


3464 


3647 


3831 


4015 


4198 


4382 


4565 


184 


237 


4748 


4932 


5"5 


5298 


5481 


5664 


5846 


6029 


6212 


6394 


*83 


238 


tiu 


6759 


6942 


7124 


730^ 


7488 


7670 
9487 


7852 


8034 


8216 


182 


239 


8580 


8761 


8943 


9124 


9306 


9668 


9849 


380030 


181 


240 


38 021 1 


38 0392 


380573 


38 0754 


380934 


381115 


381296 


38 1476 


38 1656 


38 *837 


181 


241 


2017 


2197 


2377 


2557 


2737 


2917 


3097 


3277 


3456 


3636 


180 


242 


3815 


3995 


4174 


4353 


4533 


4712 


4891 


5070 


5249 


5428 


179 


243 


5606 


5785 


5964 


6142 


6321 


6499 


6677 


6856 


7034 


7212 
8989 


178 


244 


7390 


7568 


7746 


7923 


8101 


8279 


8456 


8634 


881 1 


178 


245 


389166 


389343 


38 9520 


389698 


38 9875 


390051 


39 0228 


390405 


390582 


39 0759 


177 


246 


390935 


39 "12 


39 1288 


39 H64 


39 1 641 


1817 


1993 


2169 


2345 


2521 


176 


247 


2697 


2873 


3048 


3224 


3400 


3575 


375* 


3026 
5676 


4101 


4277 


176 


248 


4452 


4627 


4802 


4977 


5152 


5326 


5501 


5850 


6025 


*75 


249 


6199 


6374 


6548 


6722 


6896 


7071 


7245 


7419 


7592 


7766 


*74 


250 


39 7940 


39 81 14 


39 8287 


39 8461 


39 8634 


398808 


39 8981 


399154 


39 9328 


39 950* 


*73 


251 


9674 


9847 


400020 


400192 


400365 


40 0538 


40 071 1 


400883 


40 1056 


40 1228 


*73 


252 


40 1401 


40 1573 


1745 


1917 


2089 


2261 


2433 


2605 


2777 


2949 


172 


253 


3121 


3292 


3464 


3635 


3807 


3978 
5688 


4149 


4320 


4492 


4663 


171 


254 


4834 


5005 


5176 


5346 


5517 


5858 


6029 


6199 


6370 


171 


255 


406540 


406710 


406881 


407051 


40 7221 
8918 


40 7391 


40 7561 


407731 


407901 


408070 


170 


256 


8240 


8410 


8579 


8749 


9087 


9257 


9426 


9595 


9764 


169 


257 


9933 


41 0102 


41 0271 


410440 


41 0609 


41 0777 


41 0946 


41 1 1 14 


41 1283 


41 1451 


169 


258 


41 1620 


1788 


1956 


2124 


2293 


2461 


2629 


2796 


2964 


3*32 


168. 


259 


3300 


3467 


3635 


3803 


3970 


4137 


4305 


4472 


4639 


4806 


167 


260 


41 4973 


41 5140 


41 5307 


41 5474 


41 5641 


41 5808 


41 5974 


41 6141 


41 6308 


4*6474 


167 


261 


6641 


6807 


6973 


7*39 


7306 


7472 


7638 


7804 


7970 


8*35 


166 


262 


8301 


8467 


8633 


8798 


8964 


9129 


9295 


9460 


9625 


979* 


165 


263 


9956 


420121 


42 0286 


420451 


420616 


42 0781 


420945 


42 mo 


421275 


42 *439 


165 


264 


42 1604 


1768 


1933 


2097 


2261 


2426 


2590 


2754 


2918 


3082 


164 


265 


423246 


423410 


42 3574 


42 3737 


423901 


424065 


42 4228 


42 4392 


424555 


4247*8 


164 


266 


4882 


5045 


5208 


537> 


5534 


5697 


5860 


6023 


6186 


6349 


*63 


267 


651 1 


6674 


6836 


6999 


7161 


7324 


7486 


7648 


781 1 


7973 


162 


268 


8135 


8297 


8459 


8621 


8783 


8944 


9106 


9268 


9429 


959* 


162 


269 


9752 


991-4 


430075 


43 0236 


43 0398 


43 0559 


430720 


43 0881 


431042 


43*203 


161 


270 
271 


43 1364 
2969 


43 1525 
3130 


43 1685 
3290 


43*846 
3450 


43 Jl 


4aai67 


43 2328 
- 3930 


43 2488 
4090 


432649 
4249 


432809 
4409 


161 
160 


272 


4569 


4729 


4888 


5048 


f^, 


'^ti 5526 


5685 


5844 


6004 


*59 


273 


6163 


6322 


6481 


6640 


BO^;: 71 16 


Zf75 


7433 


7592 


'^2 


274 


775> 


7909 


8067 


8226 


!^\^4 


8^42 ; 8701 


8859 


9017 


9*75 


158 


275 


43 9333 


43 949« 


43 9648 


439806 


43 u9^.^ 


44 or? J 440279 


440437 


440594 


440752 


158 


276 


440909 


44 1066 


441224 


441381 


44 »5?'^ 


n^^)^' 1852 


2009 


2166 


2323 


*57 


277 


2480 


2637 


2793 


2950 


; \io(> 


^y"i 


3419 


3576 


3732 


3889 


*57 


278 


4045 


4201 


4357 


4513 


+t)f>.) 


4><^S. 


4981 


5*37 


52^1 


5449 


156 


279 


5604 


5760 


5915 


6071 


-* 

1 


» 

6 • 


6537 


6692 


6848 


7003 


*5S 
D. 





1 


2 


3 


6 


7 


8 






1 



LOGARITHMS OF NUMBERS. 



N. 
a8o 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 

'55 


447158 
8706 


44 73«3 


447468 


447623 


447778 


44 7933 


448088 


448242 


448397 


448552 


a8i 


8861 


9015 


9170 


9324 


9478 


9633 


9787 


994' 


450095 


'54 


a8a 


450249 


45 0403 


45 0557 


45 071 1 


45 0865 


45 1018 


451172 


45 '326 


45 '479 


'633 


'54 


283 


1786 


1940 


2093 


2247 


2400 


2553 
4082 


2706 


2859 
4387 


3012 


3165 


'53 


284 


3318 


3471 


3624 


3777 


3930 


4235 


4540 


4692 


'53 


285 


454845 


45 4997 


45 5»5o 


455302 


45 5454 


455606 


45 5758 


45 5910 


45 6062 


45 62x4 


152 


286 


6366 


6518 


6670 


682 X 


6973 


7125 
86 j8 


7276 


7428 


7579 


773' 


152 


287 


7882 


8033 


8184 


8336 


8487 


8789 


8940 


9091 


9242 


'5' 


288 


9392 


9543 


9694 


9845 


P995 


46 0x46 


46 0296 


460447 


46 0597 


46 0748 


'5' 


289 


4^0898 


46 1048 


46 1 198 


461348 


461499 


1649 


1799 


1948 


2098 


2248 


150 


290 


46 2398 


46 2548 


462697 


462847 


462997 


463146 


463296 


463445 


463594 


463744 


'50 


291 


3893 


4042 


4191 


4340 4490 


4639 


4788 


4936 


5085 


5234 


149 


292 


52?3 


5532 


5680 


5829 5977 


6126 


6274 


6423 


657' 


6719 


149 


293 


6868 


7016 
' I495 


7164 
8643 


73' 2 


7460 
8938 


7608 


7756 


7904 


8052 


8200 


148 


294 


8347 


8790 


9085 


9233 


9380 


9527 


- 9675 


X48 


295 


46 9822 


469969 


47 01 16 


47 0263 


47 04x0 


470557 


47 0704 


470851 


470998 


47 ' '45 


'47 


296 


47 1292 


47 H38 


1585 


1732 


1878 


2025 


2171 


2318 


2464 


2610 


X46 


297 


2756 


2903 


3049 


3"95 


3341 


3487 


3633 


3779 


3925 


407' 


146 


298 


4216 


4362 


4508 


4653 


4799 


4944 


5090 


5235 


5381 


5526 


146 


299 


5671 


5816 


5962 


6107 


6252 


6397 


6542 


6687 


6832 


6976 


'45 


300 


477121 


477266 


47 74t 1 


47 7555 
8999 


47 7.700 


477844 


477989 


478x33 


47 8278 


478422 


'45 


301 


8566 


871 1 


8855 


9143 


9287 


9431 


9575 


97'9 


9863 


'44 


302 


480007 


480151 


480294 


480438 


480582 


48 0725 


480869 


48 1012 


48 1 156 


48x299 


'44 


303 


1443 


1586 


1729 


1872 


2016 


2159 


2302 


2445 


2588 


273' 


'43 


304 


2874 


3016 


3159 


3302 


3445 


3587 


3730 


3872 


4015 


4'57 


'43 


305 


484300 


484442 


484585 


48 4727 


484869 


48 501 1 


485153 


48 5295 


48 5437 


485579 


X42 


306 


5721 


5863 


6005 


6x47 


6289 


6430 


79^6 


67x4 


6855 


6997 


142 


307 


7138 
8551 


7280 


7421 


7563 
8974 


7704 


7845 


8x27 


8269 


8410 


141 


308 


8692 


8833 


9x14 


9255 


9396 


9537 


9677 


9818 


141 


309 


9958 


490099 


49 0239 


490380 


49 0520 


490661 


490801 


49 0941 


49 108 X 


49 1 222 


140 


3x0 


49 1362 


49 1502 


49 1642 


491782 


49 1922 


492062 


492201 


492341 


492481 


49 2621 


X40 


3x1 


2760 


2900 


3040 


3179 


3319 


3458 


3597 


3737 


3876 


4015 


139 


31* 


4155 


4294 


4433 


4572 


47 >' 


4850 


4989 


5128 


5267 


5406 


'39 


313 


5544 


5^!2 


5822 


5960 


6099 


6238 


6376 


6515 


6653 


6791 


'39 


314 


6930 


7068 


7206 


7344 


7483 


7621 


7759 


7897 


8035 


8173 


'38 


315 


49 831 1 


498448 


49 8586 


498724 


498862 


498999 


49 9" 37 


49 9275 


499412 


49 9550 


'38 


3x6 


9687 


9824 


9962 


500099 


500236 


50 0374 


500511 


500648 


50 0785 


500922 


'37 


317 


50 1059 


50 1 196 


50 *333 


1470 


1607 


1744 


1880 


2017 


2154 


2291 


'37 


318 


2427 


2564 


2700 


2837 


2973 


3109 


3246 


3382 


35'8 


3655 


'36 


3x9 


3791 


3927 


4063 


4x99 


4335 


4471 


4607 


4743 


4878 


5014 


'36 


320 


505150 


50 5286 


50 5421 


50 5557 


505693 


50 5828 


50 5964 


506099 


50 6234 


50 6370 


'36 


32X 


6505 
7856 


6640 


6776 


6911 


7046 


7181 


8664 


7451 


7586 


7721 


'35 


322 


7991 


8126 


8260 


839s 


8530 


8799 


8934 


9068 


'35 


323 


9203 


9337 


9471 


9606 


9740 


9874 


51 0009 


5x0x43 


510277 


51 0411 


134 


324 


51 0545 


510679 


510813 


5^0947 


51 X081 


51 X2X5 


1349 


1482 


1616 


1750 


'34 


325 


51 1883 


51 2017 


5x2151 
3484 


51 2284 


$1 2418 


51 255X 


5x2684 


5X 2818 


51 295X 


51 3084 


^33 


326 


3218 


335" 


3617 


3750 


3883 


4016 


4x49 


4282 


4415 


'33 


327 


4548 


4681 


4813 


4946 


5079 


52II 


5344 


5476 


5609 


5741 


133 


328 


5874 


6006 


6139 


6271 


6403 


6§35 


6668 


6800 


6932 


7064 


132 


329 


7196 


7328 


7460 


7592 


7724 


7855 


7987 


8x19 


825 X 


8382 


132 


330 


51 8514 


518646 


51 8777 


518909 


519040 


519x71 


519303 


5' 9434 


5' 9566 


5x9697 


'3' 


331 


9828 


9959 


520090 


520221 


520353 


520484 


5206x5 


520745 


52 0876 


52x007 


'3' 


332 


52 1 138 


521269 


1400 


1530 


1 661 


X792 


1922 


2053 


2183 


2314 


'3' 


333 


2444 


2575 


2705 


2835 


2966 


3096 


3226 


3356 


3486 


3616 


'30 


334 


3746 


3876 


4006 


4136 


4266 


4396 


4526 


4656 


4785 


49'5 


130 


335 


52 5045 


525174 


525304 


525434 


'%l 


525693 


52 5822 


52595' 


526081 


526210 


129 


336 


6339 


6469 


^§2! 


6727 


6985 


71x4 


7243 


7372 
8660 


750' 


129 


337 


7630 
8917 


7759 


788.S 


8016 


8145 


8274 


8402 


8531 


8788 


129 


338 


9045 


9173^ 9302 


9430 


9559 


9687 


9815 


9943 


530072 


128 


339 

N. 


530200 


53 0328 


530456 


c 3 0584 


530712 


530840 


530968 53x096 

1 


53 '223 


'35' 


X28 

D. 


. 


1 


2 


4 


5 


6 


7 


8 


9 



LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 

128 




340 


53 H79 


53*5?7 


531734 


531862 


53x990 


532117 


532245 


53 2372 


532500 


53 2627 




341 


2754 


2882 


3009 


3*36 


3264 


339X 


35x8 


3645 


3772 


3899 


127 




342 


4026 


4153 


4280 


4407 


4534 
5800 


4661 


4787 


4914 


5041 


5167 


127 




343 


5294 


5421 


5547 


5674 


5927 


6053 


6180 


6306 


6432 


126 




344 


6558 


6685 


6811 


6937 


7063 


7189 


73'5 


7441 


7567 


7693 


126 




345 


53 78>9 


53 7945 


538071 


538197 


53 8322 


538448 


53 8574 


538699 


538825 


53895' 


126 




346 


9076 


9202 


9327 


9452 


9578 
540830 


9703 


9829 


9954 


540079 


540204 


125 




347 


54 0329 


540455 


540580 
1829 


540705 


540955 


54 1080 


541205 


'330 


'454 


125 




34« 


»579 


1704 


1953 


2078 


2203 


2327 


2452 


2576 


2701 


125 




349 


2825 


2950 


3074 


3"99 


3323 


3447 


357* 


3696 


3820 


39f4 


124 




350 


544068 


544192 


5443"6 


544440 


544564 
5802 


544688 


544812 


54 4936 


545060 


54 5'83 


124 




35X 


5307 


5431 


§555 


5678 


5925 


6049 


6172 


6296 


6419 


124 




35a 
353 


6543 
7775 


6666 
7898 


6789 
8021 


6913 
8144 


7036 
8267 


Z'59 
8389 


7282 
8512 


?1 


8758 
9984 


ill! 


'23 

123 




354 


9003 


9126 


9249 


9371 


9494 


9616 


9739 


9861 


550106 


'23 




355 


55 0228 


550351 


55 0473 


55 OJ95 


550717 
1938 


550840 


550962 


551084 


551206 


55 '328 


122 




356 


"459 


1572 


1694 


1816 


2060 


2181 


2303 


2425 


2547 


122 




357 


2668 


2790 


291 1 


3033 


3155 
4368 


3276 
4489 


3398 


35>9 


3640 


3762 


121 




358 


3883 


4004 


4126 


4247 


4610 


4731 


4852 


t%l 


121 




359 


5094 


5215 


5336 


545>J 


5578 


5699 


5820 


5940 


6061 


121 




360 


55 6303 


556423 


556544 


556664 


55 6785 


556905 


55 7026 


55 7146 
8349 


"ffi 


''& 


120 


• 


361 


7507 


7627 


a 


7868 


7988 


8108 


8228 


120 




362 


8709 


8829 


9068 


9188 


9308 


9428 


9548 


9667 


9787 


120 




363 


9907 


560026 


560146 


56 0265 


56 0385 
1578 


560504 


560624 


56 0743 


560863 


560982 


119 




364 


56 IIOI 


1221 


1340 


1459 


1698 


1817 


1936 


2055 


2174 


119 




365 


56 2293 


562412 


56 2531 


56 2650 


562769 


56 2887 


563006 


563125 


563244 


56 3362 


119 




366 


3481 


3600 


3718 


3837 


3955 


4074 


4192 


43" 


4429 


4548 


119 




367 


4666 


4784 


4903 


5021 


5»39 


5257 


5376 


5494 


5612 


5730 


118 




368 


5848 


5966 


6084 


6202 


6320 


6437 


6555 


6673 


6791 


6909 


118 




369 


7026 


7'44 


7262 


7379 


7497 


7614 


7732 


7849 


7967 


8084 


118 




370 


568202 


568319 


56 8436 


56 8554 


568671 


568788 


568905 


569023 


56 9140 


56 9257 


117 




371 


9374 


9491 


9608 


9725 
570893 


9842 


9959 


570076 


570193 


570309 


57 0426 


"7 




372 


570543 


570660 


57 0776 


57 loio 


57 1 126 


1243 


'359 


1476 


1592 


"7 




373 


1709 


1825 
2988 


1942 


2058 


2174 


2291 


2407 
3568 


2523 


2639 


2755 


116 




374 


2872 


3104 


3220 


3336 


3452 


3684 


3800 


39' 5 


116 




375 


574031 


57 4147 


57 4263 


574379 


574494 


57 4610 


57 4726 


574841 


57 4957 


57 5072 


116 




376 


5188 


5303 


5419 


5534 


5650 


5765 


5880 


5996 


61 1 1 


6226 


"5 




377 


6341 


6457 


6572 


6687 


6802 


6917 


7032 
8181 


7H7 
8295 


7262 
8410 


7377 


"5 




378 


7492 
8639 


7607 
8754 


7722 
8868 


7836 
8983 


795* 


8066 


8525 


"5 




379 


9097 


9212 


9326 


9441 


9555 


9669 


"4 




380 


579784 


57 9898 


5{:ooi2 


580126 


580241 


58 0355 


580469 


58 0583 


580697 


580811 


"4 




381 


580925 


58 1039 


"53 


1267 


1381 


1495 


1608 


1722 
2858 


1836 


4218 


"4 




382 


. 2063 


2177 


2291 


2404 


2518 


2631 


2745 


2972 


114 




383 


3199 


3312 


3426 


3539 


3652 


3765 


3879 


3992 


4105 


"3 




384 


433' 


4444 


4557 


4670 


4783 


4896 


5009 


5122 


5235 


5348 


"3 




385 


58 5461 


58 5574 


585686 


58 5799 


585912 


586024 


586137 


58 6250 


58 6362 


586475 


"3 




386 


6587 


6700 


6812 


6925 


7037 


7x49 


7262 


8496 


7486 
8608 


7599 


112 




387 


^32 


7823 
8944 


7935 


8047 


8x60 


8272 


8384 


8720 


112 




388 


9056 


9167 


9279 


9391 


9503 


9615 


9726 


9838 


112 




389 


9950 


590061 


590173 


590284 


590396 


59 0507 


590619 


59 0730 


590842 


590953 


112 




390 


59 1065 


59 1 176 


59 1287 


591399 


59 i5'o 


59 1621 


591732 


59 '843 


59 1955 


592066 


111 




391 


2177 


2288 


2399 


2510 


2621 


2732 


2843 


2954 


3064 


3x75 


III 




392 


3286 


3397 


3508 


3618 


3729 


3840 


3950 


4061 


417' 


4282 


111 




393 


4393 


4503 


4614 


4724 


4834 


4945 


5055 


5165 


5276 


§^^ 


110 




394 


5496 


5606 


57"7 


5827 


5937 


6047 


6157 


6267 


6377 


6487 


110 




395 


59 6597 


59 6707 


596817 


59 6927 


59 7037 


59 7146 
8243 


59 7256 


597366 


59 7476 


^'iHt 


no 




396 


7695 


7805 


7914 


8024 


8134 


8353 


8462 


8572 


no 




397 


8791 


8900 


9009 


91 19 


9228 


9337 


9446 


9556 


9665 


. ^17^ 


109 




398 


9883 


9992 


600101 


600210 


600319 


600428 


600537 


30646 


600755 


600864 


109 




399 


600973 


60 1082 


1191 


1299 


1408 


1517 


1625 


1734 


1843 


195 1 


109 
D. 




N. 





1 


2 


3 


4 


6 


6 


7 


8 


9 



7r. 



LOGARITHMS OF NUMBERS. 



7 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


Q 


D. 

108 


400 


602060 


602169 


602277 


602386 


602494 


602603 


602711 


602819 


602928 


603036 


401 


3*44 


3253 


3361 


3469 


3577 


3686 


3794 
4874 


3902 


4010 


41 18 


108 


40a 


4226 


4334 


4442 


4550 


4658 


4766 


4982 


5089 


5'97 


108 


403^ 


5305 


5413 


5521 


5628 


un 


5844 


595' 


6059 


6166 


6274 


108 


404 


6381 


6489 


6596 


6704 


6919 


7026 


7'33 


7241 


7348 


107 


405 


607455 


607562 


607669 


607777 


607884 


607991 


608098 


608205 


608312 


608419 


107 


406 


8526 


8633 


8740 


8847 


8954 


9061 


9167 


9274 


9381 


9488 


107 


407 


9594 


9701 


9808 


9914 


61 0021 


61 0128 


610234 


61 0341 


61 0447 


61 0554 


107 


408 


610660 


61 0767 


61 0873 


61 0979 


1086 


1 192 


1298 


1405 


'5" 


1617 


106 


409 


1723 


1829 


1936 


2042 


2148 


2254 


2360 


2466 


2572 


2678 


106 


410 


61 2784 


61 2890 


61 2996 


61 3102 


61 3207 


61 3313 


61 3419 


61 3525 


61 3630 


61 3736 


106 


4" 


3842 


3947 


4053 


4«59 


42-64 


4370 


4475 


4581 


4686 


4792 


106 


4X2 


4897 


5003 


5108 


5213 


5319 


5424 


5529 


5634 


5740 


5845 


105 


413 


5950 


6055 


6160 


6265 


6370 


-6476 


6581 


6686 


6790 


6895 


105 


414 


7000 


7105 


7210 


7315 


7420 


7525 


7629 


7734 


7839 


7943 


'05 


415 


618048 


61 8153 


61 8257 


61 8362 


618466 


61 8571 


61 8676 


618780 


618884 


618989 


105 


4x6 


9093 


9198 


9302 


9406 


9511 


9615 


9719 


9824 


9928 


620032 


104 


417 


620136 


620240 


620344 


620)48 


620552 


620656 


620760 


620864 


620968 


1072 


104 


418 


1176 


1280 


1384 


1488 


1592 


1695 


'799 


'903 


2007 


2110 


104 


419 


2214 


2318 


2421 


2525 


2628 


2732 


2835 


2939 


3042 


3'46 


104 


420 


623249 


62 3353 


623456 


62 3559 


62 3663 


62 3766 


62 3869 


62 3973 


624076 


624179 


103 


42 X 


4282 


4385 


4488 


459 » 


4695 


4798 


4901 


5004 


5'07 


P'S 


103 


422 


53'2 


5415 


5518 


5621 


5724 


5827 


5929 


6032 


6135 


6238 


103 


423 


6340 


6443 


6546 


6648 


6751 


6853 


6956 
7980 


8^2 


7161 


7263 


103 


4*4 


7366 


7468 


7571 


7673 


7775 


7878 


8185 


8287 


102 


4*5 


628389 


62 8491 


62 8593 


628695 


62 8797 


628900 


629002 


62 9104 


629206 


62 9308 


102 


426 


9410 


9512 


9613 


9715 


9817 


9919 


630021 


630123 


630224 


63 0326 


102 


427 


630428 


630530 


630631 


63 0733 


630835 


630936 


1038 


"39 


1241 


'342 


102 


428 


1444^ 


1545 


1647 


1748 


1849 


195' 


2052 


2153 


2255 


2356 


101 


429 


2457 


2559 


2660 


2761 


2862 


2963 


3064 


.3'65 


3266 


3367 


lOI 


430 


633468 


633569 


63 3670 


63377' 


63 3872 
4880 


63 3973 


63 4074 


63 4' 75 


634276 


63 4376 


lOI 


431 


4477 


4578 


4679 


4779 


4981 


5081 


5'82 


5283 


5383 


lOI 


432 


5484 


5685 


5785 


5886 


5986 


6087 


6187 


6287 


6388 


100 


433 


6488 


6588 


6680 


6789 


6889 


6989 


7089 


7189 


7290 


7390 


100 


434 


7490 


7590 


7690 


7790 


7890 


7990 


8090 


8190 


8290 


8389 


100 


435 


63 8489 


638589 


63 8689 


638789 


638888 


638988 


639088 


639188 


63 9287 


63 9387 


100 


436 


9486 


9586 


9686 


9785 


9885 


9984 


640084 


640183 


64 0283 


640382 


99 


437 


640481 


64 0581 


640680 


640779 


640879 


640978 


1077 


"77 


1276 


'375 


99 


438 


1474 


1573 


1672 


1771 


1871 


1970 


2069 


2168 


2267 


2366 


99 


439 


2465 


2563 


2662 


2761 


2860 


2959 


3058 


3'56 


3255 


3354 


99 


440 


643453 


64355' 


643650 


643749 


643847 


64 3946 


644044 


644143 


644242 


64 4340 


98 


441 


4439 


4537 


4636 


4734 


4832 


493' 


5029 


5'27 


5226 


5324 


98 


442 


5422 


55^1 


5619 


57'7 


•5815 


5913 


6011 


61 10 


6208 


6306 


98 


443 


6464 


6502 


6600 


6698 


6796 


6894 


6992 


7089 


7187 


7285 


98 


444 


7383 


7481 


7579 


7676 


7774 


7872 


7969 


8067 


8165 


8262 


98 


445 


648360 


648458 


64 8555 


64 8653 


64 8750 


648848 


648945 


649043 


649140 


649237 


97 


446 


9335 
65 0308 


9432 


9530 


9627 


9724 


9821 


9919 


650016 


65 01 13 


65 0210 


97 


447 


65 0405 


65 0502 


65 0599 


650696 


65 0793 


650890 


0987 


1084 


1181 


97 


448 


1278 


1375 


1472 


1569 


1666 


1762 


'!5? 


1956 


2053 


2150 


97 


449 


2246 


2343 


2440 


2536 


2633 


2730 


2826 


2923 


3019 


3"6 


97 


450 


65 3213 


653309 


653405 


65 3502 


65 3598 


653695 


65 3791 


65 3888 


653984 


654080 


96 


451 


4>77 


4273 


4369 


4465 


4562 


4658 


4754 


4850 


4946 


5042 


96 


452 


5138 


5235 


5331 


5427 


5523 


5619 


57'5 


5810 


5906 


6002 


96 


453 


6098 


6194 


6290 


6386 


6482 


6577 


6673 


6769 


6864 


6960 


96 


454 


7056 


7152 


7247 


7343 


7438 


7534 


7629 


7725 


7820 


79' 6 


96 


455 


65 801 1 


65 8107 


658202 


65 8298 


65 8393 


658488 


658584 


65 8679 


65 8774 


65 8870 


95 


456 


8965 


9060 


9155 


9250 


9346 


944' 


9536 


9631 


9726 


9821 


95 


457 


9916 


660011 


660106 


660201 


66 0296 


660391 


660486 


660581 


660676 


660771 


95 


458 


660865 


0960 


1055 


1 150 


1245 


'339 


'434 


'529 


1623 


1718 


95 


459 

N. 


1813 


1907 


2002 


2096 


2191 


2286 


2380 


2475 


2569 


2663 


95 
D. 





1 


2 


3 


4 


5 


6 


7 


8 


9 



8 



LOGARITHMS OF NUMBERS. 



N. 
460 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 


662758 


662852 


662947 


663041 


663135 


663230 


663324 


663418 


663512 


663607 
4548 


94 


461 


3701 


3795 
4736 


3889 


3983 


4078 


4172 


4266 


4360 


4454 


94 


462 


4642 


4830 


4924 


5018 


5112 


5206 


5299 


5393 


5487 


94 


463 


5581 


5675 


5769 


5862 


5956 


6050 
6986 


6143 


6237 


6331 


6424 


94 


464 


6518 


6612 


6705 


6799 


6892 


7079 


7173 


7266 


7360 


94 


465 


66 7453 


667546 
8479 


667640 
8572 


667733 
8665 


667826 

8759 
9689 


667920 
8852 


668013 


668106 


668199 


668293 


93 


466 


8386 


8945 


9038 


9131 


9224 


93 


467 


9317 


9410 


9503 


9596 


9782 


9875 


9967 


670060 


670153 
1080 


93 


468 


67 0246 


67 0339 


670431 


670524 


670617 


670710 


670802 


670895 


0988 


93 


469 


1173 


1265 


1358 


1451 


1543 


1636 


1728 


1821 

• 


1913 


2005 


93 


470 


672098 


672190 


67 2283 


67 2375 


67 2467 


672560 


67 2652 


672744 


67 2836 


67 2929 


92 


471 


3021 


3"3 


3205 


3297 


3390 


3482 


3574 


3666 


3758 


3850 


92 


472 


3942 


4034 


4126 


4218 


43>o 


4402 


4494 


4586 


4677 


4769 


92 


473 


4861 


4953 


5045 


5'37 


5228 


5320 


5412 


5503 


5595 


5687 


92 


474 


5778 


5870 


5962 


6053 


6t45 


6236 


6328 


6419 


651 1 


6602 


92 


475 


676694 


67 6785 
7698 


676876 


676968 


677059 


'^^3 


67 7242 
8154 


67 7333 


677424 


67 7516 
8427 


91 


476 


7607 
8518 


7789 


7881 
8791 


7972 
8882 


8245 


8336 


91 


477 


8609 


8700 


8973 
9882 


9064 


.«9i55 


9246 


_ 9337 


91 


478 


9428 


95^9 


9610 


9700 


9791 


9973 


680063 


680154 


68 0245 


9« 


479 


68 0336 


680426 


680517 


680607 


680698 


680789 


680879 


0970 


1060 


1151 


91 


480 


681241 


681332 


68 1422 


681513 


681603 


681693 


681784 


681874 


681964 


682055 


90 


481 


2145 


2235 


2326 


2416 


2506 


2596 


2686 


2777 


2867 


2957 


90 


482 


3047 


3137 


3227 


3317 


3407 


3497 


3517 


3677 


3767 


3857 


9d 


483 


3947 


4037 


4127 


4217 


4307 


4396 


4486 


4576 


4666 


4756 


90 


484 


4845 


4935 


5025 


5114 


5204 


5294 


5383 


5473 


5563 


5652 


90 


485 


685742 


68 5831 


685921 


686010 


686100 


68 6189 


686279 


686368 


686458 


686547 


89 


486 


6636 


6726 


6815 


6904 


6994 


7083 


7172 


7261 


7351 


7440 


89 


487 


7529 


7618 


7707 


2lg 


7886 
8776 


8865 


8064 


8153 


8242 


8331 


89 


488 


8420 


8509 


8598 


8953 


9042 


9131 


9220 


89 


489 


9309 


9398 


9^86 


9575 


9664 


9753 


9841 


9930 


690019 


690107 


89 


490 


690196 


690285 


690373 


690462 


690550 


690639 


690728 


690816 


690905 


690993 


89 


491 


108 1 


1170 


1258 


1347 


1435 


1524 


1612 


1700 


1789 1877 


88 


492 


1965 


2053 


2142 


2230 


2318 


2406 


2494 


2583 


2671 


2759 


88 


493 


2847 


2935 


3023 


31" 


3'99 


3287 


3375 


3463 


3551 


3639 


88 


494 


3727 


3815 


3903 


3991 


4078 


4166 


4254 


4342 


4430 


45>7 


88 


495 


694605 


694693 


694781 


694868 


69 4956 


695044 


69 5^3" 


695219 


695307 


695394 


88 


496 


5482 


5569 


5657 


5744 


5832 


5919 


6007 


6094 


6182 


6269 


87 


497 


6356 


6444 


6531 


6618 


6706 


6793 


6880 


6968 7055 


7142 


87 


498 


7229 


73«7 


7404 


749 > 


7578 


7665 


8622 


7839 
8709 


7926 


8014 


87 


499 


8101 


8188 


8275 


8362 


8449 


8535 


8796 


8883 


87 


500 


69 8970 


699057 


699144 


699231 


699317 


699404 


699491 


699578 


699664 699751 


87 


501 


9838 


9924 


70 001 1 


700098 


700184 


700271 


70 0358 


700444 


700531; 700617 


87 


502 


70 0704 


700790 


0877 


0963 


1050 


1 136 


1222 


1309 


1395 H82 


86 


503 


1568 


1654 


1 741 


1827 


1913 


1999 


2086 


2172 


2258 2344 


86 


504 


243' 


2517 


2603 


2689 


2775 


2861 


2947 


3033 


3119 


3205 


86 


505 


70 3291 


70 3377 


70 3463 


70 3549 


70 3635 


70 3721 


703807 


70 3893 


70 3979 


704065 


86 


506 


4151 


4236 


4322 


4408 


4494 


4579 


4665 


4751 


4837 ; 4922 


86 


507 


5008 


5094 


5179 


5265 


5350 


5436 


5522 


5607 


5693 


5778 


86 


508 


5864 


5949 


6035 


6120 


6206 


6291 


6376 


6462 


6547 


6632 


85 


509 


6718 


6803 


6888 


6974 


7059 


7144 


7229 


7315 


7400 


7485 


85 


510 


707570 


70 7655 


70 7740 


707826 


70 791 1 


70 7996 


708081 


708166 


708251 


70 8336 


?5 


5" 


8421 


8506 


8591 


8676 


8761 


8846 


8931 


9015 


9100 1 9185 


55 


5" 


9270 


9355 


9440 


9524 


9609 


9694 


9779 


9863 


9948 


7*0033 


^5 


513 


710117 


71 0202 


710287 71 0371 


71 0456 


71 0540 


71 0625 


71 0710 


710794 


0879 


55 


514 


0963 


1048 


1132 1217 


1 301 


1385 


1470 


1554 


1639 


1723 


84 


515 


71 1807 


71 1892 


71 1976 71 2060 


71 2144 


71 2229 


7« 2313 


71 2397 


71 2481 


71 2566 


84 


516 


2650 


2734 


2818 


2902 


2986 


3070 


3154 


3238 


3323 


3407 


84 


517 


3491 


3575 


3659 


3742 


3826 


3910 


3994 


4078 


4162 


4246 


84 


5x8 


4330 


4414 


4497 1 4581 


4665 


4749 


4833 


4916 


5000 


5084 


84 


519 

N. 


5167 


5251 


5335 


5418 


5502 


5586 


5669 


5753 


5836 


5920 


84 
D. 





1 


2 


3 


4 6 


6 


7 


8 


9 



LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 


520 


71 6003 


71 6087 


71 6170 


7920 
8751 
9580 


7« 6337 


71 6421 


71 6504 


71 6588 


71 6671 


71 6754 


P 


521 

522 


6838 
7671 
8502 


6921 

8585 


7004 
8668 


7171 
8003 


m 


7338 
8169 


7421 
8253 

9083 


8336 


7587 
8419 


P 
P 


523 


8834 


8917 


9000 


9165 


9248 


83 


524 


9331 


9414 


9497 


9663 


9745 


9828 


99n 


9994 


720077 


83 


525 


720159 


720242 


720325 


720407 


720490 


720573 


720655 
1481 


720738 


720821 


720903 


83 


526 


0986 


1068 


1151 


1235 


1316 


1398 


1563 


1646 


1728 


82 


527 


1811 


1893 


1975 


2058 
2881 


2140 


2222 


2305 


2387 


2469 


2552 


82 


528 


2634 


2716 


2798 


2963 


3045 


3127 


3209 


3291 


3374 


82 


529 


3456 


3538 


3620 


3702 


3784 


3866 


3948 


4030 


4112 


4194 


82 


530 


72 4276 


72 4358 


724440 


72 4522 


724604 


72 4685 


72 4767 


724849 


724931 


725013 


82 


531 


5095 


5176 


5258 


5340 


5422 


5503 


5585 


5667 


5748 


5!32 


82 


532 


5912 


5993 


6075 


6156 


6238 


6320 


6401 


6483 


6564 


6646 


82 


• 533 


6727 


6809 


6890 


6972 
7785 


72§3 


7134 


7216 
8029 


7297 
81 10 


7379 
8191 


7460 


81 


534 


7541. 


7623 


7704 


7866 


7948 


8273 


81 


535 


72 8354 


728435 


728516 


72 8597 


72 8678 


72 8759 


728841 


728922 


729003 


729084 


81 


536 


9165 


9246 


9327 


9408 


9489 


9570 


9651 


9732 


9813 


9893 


81 


537 


9974 


730055 


730136 


730217 


73 0298 


73 0378 


730459 


73 0540 


730621 


730702 


81 


538 


73 0782 


0863 


0944 


1024 


H05 


1 186 


1266 


1347 


1428 


1508 


81 


539 


1589 


1669 


1750 


1830 


191 1 


1991 


2072 


2152 


2233 


2313 


81 


540 


73 2394 


73 2474 


73 2555 


73 2635 


732715 


73 2796 


73 2876 


73 2956 


73 3037 


73 3"7 


80 


541 


3197 


3278 


3358 


3438 


3518 


3598 


3679 


3759 


3839 


3919 


80 


542 


3999 


4079 
4880 


4160 


4240 


4320 


4400 


4480 


4560 


4640 


4720 


80 


543 


4800 


4960 


5040 


5120 


5200 


^i 


5359 


5439 


5519 


80 


544 


5599 


5679 


5759 


5838 


5918 


5998 


6157 


6237 


6317 


80 


545 


73 6397 


736476 


73 6556 


73 6635 


736715 


73 6795 


73 6874 


736954 


737034 


737113 


80 


546 


7193 


7272 
8067 


7352 


7431 
8225 

9018 


7511 


7590 


7670 


7749 


7829 
8622 


7908 


79 


547 


7987 


8146 


8305 


8384 


8463 


8543 


8701 


79 


548. 


8781 


8860 


8939 


9227 


9177 


9256 


9335 


9414 


9493 


79 


549 


9572 


9651 


9731 


9810 


9889 


9968 


740047 


740126 


74 0205 


74 0284 


79 


550 


74 0363 


740442 


740521 


740600 


74 0678 


74 0757 


740836 


740915 740994 


74 1073 


79 


551 


1152 


1230 


1309 


1388 


1467 


1546 


1624 


1703 


1782 


i860 


79 


552 


1939 


2018 


2096 


2175 


2254 


2332 


2411 


2489 


2568 


2647 


7g 


553 


2725 


2804 


2882 


2961 


3039 


3118 


3196 


327s 


3353 


3431 


78 


554 


35 »o 


3588 


3667 


3745 


3823 


3902 


3980 


4058 


4136 


4215 


78 


555 


74 4293 


74437* 


74 4449 


74 4528 


744606 


74 4684 


74 4762 


74 4840 


744919 


74 4997 


7! 


556 


5075 


5153 


5231 


5309 


5387 


5465 


5543 


5621 


5699 


5777 


7! 


557 


5855 


5933 


601 1 


6089 


6167 


6245 


6323 


6401 


6479. 


6556 


78 


558 


6634 


6712 


6790 


6868 


6945 


7023 


7101 


7179 


7256 
8033 


7334 


7f 


559 


7412 


7489 


7567 


7645 


7722 


7800 


7878 


7955 


81 10 


78 


560 


748188 


74 8266 


74 8343 


748421 


74 8498 


74 8576 


74 8653 


74 8731 


748808 


74 8885 


77 


561 


8963 


9040 


9118 


9'?5 


9272 


9350 


9427 


9504 


9582 


9659 


77 


562 


9736 


9814 


9891 


9968 


750045 


750123 


750200 


75 0277 


75 0354 


750431 


77 


563 


750508 


75 0586 


75 0663 


75 0740 


0817 


0894 


0971 


1048 


1 1 25 


1202 


77 


564 


1279 


1356 


H33 


1510 


1587 


1664 


1 741 


1818 


1895 


1972 


77 


565 


752048 


75 2125 


75 2202 


75 2279 


75 2356 


752433 


752509 


75 2586 


752663 


75 2740 


77 


566 


2816 


2893 


2970 


3047 


3>23 


3200 


3277 


3353 


3430 


3506 


77 


567 


3583 


3660 


3736 


3813 


3889 


3966 


4042 


4119 


4195 


4272 


77 


568 


4348 


4425 


4501 


4578 


4654 


4730 


4807 


4883 


4960 


5036 


76 


569 


5112 


5189 


5265 


5341 


5417 


5494 


5570 


5646 


5722 


5799 


76 


570 


75 5875 


75 595' 


75 6027 


75 6103 


756180 


75 6256 


75 6332 


75 6408 


756484 


756560 


76 


571 


6636 


6712 


6788 


6864 


6940 


7016 


7092 


7168 


7244 


7320 
8079 


76 


572 


7396 


7472 


7548 


7624 
8382 


7700 


7775 


7851 


7927 


8003 


76 


573 


8155 


8230 


8306 


8458 


8533 


8609 


8685 


8761 


8836 


76 


574 


8912 


8988 


9063 


9139 


9214 


9290 


9366 


9441 


95*7 


9592 


76 


575 


759668 


75 9743 


75 9819 


75 9894 


75 9970 


760045 


760121 


760196 


760272 


760347 


75 


576 


76 0422 


760498 


76 0573 


76 0649 


76 0724 


0799 


0875 


0950 


1025 


IIOI 


75 


577 


1176 


1251 


1326 


1402 


1477 


1552 


1627 


1702 


1778 


1853 


75 


578 


1928 


2003 


2078 


2153 


2228 


2303 


2378 


2453 


2529 


2604 


75 


579 


2679 


2754 


2829 


2904 


2978 


3053 


3128 


3203 


3278 


3353 


75 
D. 


N. 


1 


2 


8 


4 


5 


6 


7 


8 






10 



LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


D. 

75 


580 


76 3428 ! 76 3503 


763578 763653 


76 3727 


763802 


76 3877 


76 3952 1 76 4027 


764101 


5«i 


4176 


4251 


4326 


4400 


4475 


4550 


4624 


4699 


4774 


4848 


75 


58a 


4923 


4998 


5072 


5H7 


5221 


5296 


5370 


5445 


5520 


5594 


75 


583 


5669 


5743 i 5818 


5892 


5966 


6041 


61 15 


6190 


6264 


6338 


74 


584 


6413 


6487 


6562 


6636 


6710 


6785 


6859 


^33 


7007 


7082 


74 


IS 


767156 


76 7230 


767304 
8046 


76 7379 


76 7453 


76 7527 
8268 


767601 


76 7675 


76 7749 


76 7823 
8564 


74 


7898 


7972 


8120 


8194 


8342 


8416 


8490 


74 


587 


8638 


8712 


8786 


8860 


8934 


9008 


9082 


9156 


9230 


9303 


74 


588 


9377 


9451 
770189 


9525 


9599 


9673 


9746 


9820 


9894 


9968 


770042 


74 


589 


770115 


77 0263 


77 0336 


770410 


77 0484 


770557 


770631 


770705 


0778 


74 


590 


770852 


770926 


770999 


77 >o73 


77 1 146 


77 1220 


77 1293 


77 1367 


771440 


7715U 


74 


59« 


1587 


1 661 


1734 


1808 


1881 


'^5? 


2028 


2102 


2175 


2248 


73 


59a 


2322 


2395 


2468 


2542 


2615 
3348 


2688 


2762 


2835 


2908 


2981 


73 


593 


30J5 
3786 


3128 


3201 


3274 


3421 


3494 


3567 
4298 


3640 


37«3 


73 


594 


3860 


3933 


4006 


4079 


4152 


4225 


4371 


4444 


73 


595 


774517 


774590 


77 4663 


77 4736 


774809 


774882 


77 4955 


77 5028 


775100 


775173 


73 


596 


5246 


5319 


5392 


5465 


5538 


5610 


5683 


5756 


5829 


5902 


73 


597 


5974 


6047 


6120 


6193 


6265 


6338 


641 1 


6483 


6556 


6629 


73 


598 


6701 


6774 


6846 


6919 


6992 


7064 


7'37 


7209 


7282 


7354 


73 


599 


7427 


7499 


7572 


7644 


7717 


7789 


7862 


7934 


8006 


8079 


72 


600 


77^15' 


778224 


77 8296 


77 8368 


778441 


778513 


77 8585 


77 8658 
9380 


77 8730 


778802 


72 


601 


8874 


8947 


9019 


9091 


9163 


9236 


9308 


9452 


9524 


72 


60a 


9596 


9669 


9741 


9813 


9885 


9957 


780029 


780101 


780173 


78 0245 


72 


603 


780317 


780389 


78 0461 


78 0533 


780605 


780677 


0749 


0821 


0893 


0965 


72 


604 


1037 


1109 


1181 


1253 


1324 


1396 


1468 


1540 


1612 


1684 


72 


605 


781755 


78 1827 


781899 


78 I97» 


782042 


78 21 14 


782186 


78 2258 


78 2329 


782401 


72 


606 


2473 


2544 


2616 


2688 


2759 


2831 


2902 


2974 


3046 


3"7 


72 


607 


3189 


3260 


3332 


3403 


3475 


3546 


3618 


3689 


3761 


3832 


71 


608 


3904 


3975 


4046 


41 18 


4189 


4261 


4332 


4403 


4475 


4546 


71 


609 


4617 


4689 


4760 


4831 


4902 


4974 


5<M5 


5116 


5187 


5259 


71 


6zo 


78 5330 


78 5401 


78 5472 


78 5543 


78 5615 


785686 


78 5757 


78 5828 


78 5899 


78 5970 


71 


61 X 


6041 


6112 


6183 


6254 


6325 


6396 


6467 


6538 


6609 


6680 


7" 


612 


6751 


6822 


6893 


6964 


7035 


7106 


7177 


7248 


7319 


7390 


7» 


6x3 


7460 


7531 


7602 


7673 


7744 


7815 


7885 


7956 


8027 


8098 


7« 


6x4 


8168 


8239 


8310 


8381 


8451 


8522 


8593 


8663 


8734 


8804 


7« 


615 


78 8875 


788946 


789016 


789087 


789157 


789228 


78 9299 


789369 


789440 


789510 


71 


6x6 


9581 


9651 


9722 


9792 


9863 


9933 


790004 


790074 


790144 


790215 


70 


6x7 


79 0285 


79 0356 


79 0426 


790496 


79 0567 


790637 


0707 


0778 


0848 


0918 


70 


6x8 


0988 


1059 


X129 


1 199 


i?(^ 


1340 


1410 


1480 


>55o 


1620 


70 


6x9 


1691 


1 761 


1831 


1901 


1971 


2041 


2111 


2181 


2252 


2322 


70 


620 


79 2392 


792462 


79 2532 


792602 


79 2672 


79 2742 


79 2812' 


792882 


79 2952 


79 3022 


70 


62X 


3092 


3162 


3231 


3301 


3371 


3441 


35" 


3581 


3651 


3721 


70 


622 


3790 


3860 


3930 


4000 


4070 


4139 


4209 


4279 


4349 


4418 


70 


623 


4488 


4558 


4627 


4697 


4767 


4836 


4906 


4976 


5045 


5"5 


70 


624 


5185 


5254 


5324 


5393 


5463 5532 


5602 


5672 


5741 


5811 


70 


625 


795880 


79 5949 


796019 


796088 


796158 


79 6227 


79 6297 


79 6366 


79 6436 


79 6505 


69 


626 


6574 


6644 


6713 


6782 


6852 


6921 


6990 


7060 


7129 


7198 


69 


627 


7268 


7337 


7406 


7475 


7545 


7614 


7683 


7752 


7821 


7890 


69 


628 


7960 


8029 


8098 


8167 


8236 


8305 


8374 


8443 


8513 


8582 


69 


629 


8651 


8720 


8789 


8858 


8927 


8996 


9065 


9«34 


9203 


9272 


69 


630 


79 9341 


799409 


79 9478 


79 9547 


799616 


799685 


79 9754 


79 9823 


79 9892 


799961 


69 


63 X 


800029 


800098 


800167 


800236 


800305 


800373 


800442 


80 051 1 


800580 


800648 


69 


632 


0717 


0786 


0854 


0923 


0992 


1061 


1 129 


1198 


1266 


1335 


69 


633 


1404 


1472 


1541 


1609 


1678 


»747 


1815 


1884 


1952 


2021 


69 


634 


2089 


2158 


2226 


2295 


2363 


2432 


2500 


2568 


2637 


2705 


68 


635 


802774 


802842 


802910 


802979 


803047 


803116 


803184 


803252 


803321 


803389 


68 


636 


3457 


3525 


3594 


3662 


3730 


3798 


3867 


3935 


4003 


4071 


68 


637 


4139 


4208 


4276 


4344 


4412 


4480 


4548 


4616 


4685 


4753 


68 


638 


4821 


4889 


4957 


5025 


5093 


5161 


5229 


5297 


5365 


5433 


68 


^639 


5501 


5569 


5637 


5705 


5773 


5841 


5908 


5976 


6044 


6112 


68 

D. 


N. 


\o_ 


1 


2 


3 


4 


6 


6 


7 


8 






LOGARITHMS OF NUMBERS. 



11 



N. 
640 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 


806180 


806248 


806316 


806384 


806451 


806519 


806587 


806655 


806723 


806790 


68 


641 


6858 


6926 


6994 


7061 


7129 


7197 


7264 


7332 


7400 


7467 
8143 


68 


642 


7535 
821 1 


7603 


7670 
S346 


7738 
8414 


7806 


7873 


7941 


8008 


8076 


68 


643 


8279 


8481 


8549 


8616 


8684 


8751 


8818 


67 


644 


8886 


8953 


9021 


9088 


9156 


9223 


9290 


9358 


9425 


9492 


67 


645 


809560 


809627 


809694 


809762 


809829 


809896 


809964 


81 0031 


810098 


81 0165 


67 


646 


81 0233 


810300 


81 0367 


810434 


81 0501 


81 0569 


810636 


0703 


0770 


0837 
1508 


67 


647 


0904 


0971 


1039 


1106 


"73 


1240 


1307 


1374 


1441 


67 


648 


1575 


1642 


1709 


1776 


1843 


1910 


1977 


2044 


2111 


2178 


67 


649 


2245 


2312 


2379 


2445 


2512 


2579 


2646 


2713 


2780 


2847 


67 


650 


81 2913 


81 2980 


813047 


8i 3114 


81 3181 


813247 


81 3314 


81 3381 


813448 


81 35*4 


67 


651 


3581 


3648 


3714 


3781 


3848 


3914 


3981 


4048 


4114 


4181 


67 


652 


4248 


4314 


4381 


4447 


45H 


4581 


4647 


4714 


4780 


4847 


67 


653 


4913 


4980 


5046 


5"3 


5179 


5246 


5312 


5378 


5445 


55" 


66 


654 


5578 


5644 


5711 


5777 


5843 


5910 


5976 


6042 


6109 


6175 


66 


655 


81 6241 


816308 


81 6374 


81 6440 


816506 


81 6573 


81 6639 


81 6705 


81 6771 


81 6838 


66 


656 


6904 


6970 


7036 


7102 


7169 


7235 


7301 


7367 


7433 


7499 


66 


657 


7565 


7631 


7698 
8358 


7764 
8424 


7830 


7896 


7962 


8028 


8094 


8160 


66 


658 


8226 


8292 


8490 


8556 


. 8622 


8688 


8754 


8820 


66 


659 


8885 


8951 


9017 


9083 


9149 


9215 


9281 


9346 


9412 


9478 


66 


660 


819544 


81 9610 


81 9676 


81 9741 


819807 


81 9873 


81 9939 


82 0004 ; 82 0070 


820136 


66 


661 


820201 


82 0267 


82 0333 


82 0399 


820464 


820530 


82 0595 


0661 


0727 


0792 


66 


662 


0858 


0924 


0989 


1055 


1120 


1 186 


1251 


1317 


1382 


1448 


66 


663 


1514 


1579 


1645 


1710 


1775 


1841 


1906 


1972 


2037 


2103 


^5 


664 


2168 


2233 


2299 


2364 


2430 


2495 


2560 


2626 


2691 


2756 


65 


665 


82 2822 


82 2887 


82 2952 


823018 


82 3083 


823148 


823213 


82 3279 82 3344 


823409 


^5 


666 


3474 


3539 


3605 


3670 


3735 


3800 


3865 


3930 


3996 


4061 


^5 


667 


4126 


4191 


4256 


4321 


4386 


445 > 


4516 


4581 


4646 


47" 


^5 


668. 


4776 


4841 


4^6 


497 » 


5036 


5101 


5166 


5231 


5296 


5361 


^5 


669 


5426 


5491 


5556 


5621 


5686 


5751 


5815 


5880 


5945 


6010 


65 


670 


826075 


82 6140 


826204 


826269 


826334 


826399 


82 6464 


82 6528 


82 6593 


82 6658 


65 


671 


6723 


6787 


6852 


6917 


6981 


7046 


7111 


7175 


7240 


7305 


65 


672 


2369 


7434 


7499 


7563 
8209 


7628 


7692 


7757 


7821 
8467 


7886 


795 » 


55 


673 


8015 


8080 


8144 


8273 


8338 


8402 


8531 


8595 


64 


674 


8660 


8724 


8789 


8853 


8918 


8982 


9046 


9111 


9175 


9239 


64 


675 


829304 


829368 


82 9432 


829497 


82 9561 


82 962^ 


829690 


82 9754 


829818 


82 9882 


64 


676 


9947 


83 001 1 


830075 


830139 


830204 


83 0268 


83 0332 


83 0396 


830460 


830525 


64 


677 


830589 


0653 


0717 


0781 


0845 


0909 


0973 


1037 


1 102 


1166 


64 


678 


1230 


1294 


1358 


1422 


i486 


1550 
2189 


1614 


1678 


1742 


1806 


64 


679 


1870 


1934 


1998 


2062 


2126 


2253 


2317 


2381 


2445 


64 


680 


832509 


83 2573 


83 2637 


832700 


83 2764 


83 2828 


832892 


83 2956 


833020 


833083 


64 


681 


3147 


3211 


3275 


3338 


3402 


3466 


3530 


3593 


3657 


3721 


64 


682 


3784 


3848 


3912 


3975 


4039 


4103 


4166 


4230 


4294 


4357 


64 


683 


4421 


4484 


4548 


461 1 


4675 


4739 


4802 


4866 


4929 


4993 


64 


684 


5056 


5120 


5183 


5247 


5310 


5373 


5437 


5500 


5564 


5627 


63 


685 


835691 


83 5754 


83 5817 


835881 


835944 


836007 


836071 


836134 


83 6197 


83 6261 


63 


686 


6324 


6387 


6451 
7083 


6514 


6577 


6641 


6704 


6767 


6830 


6894 


63 


687 


6957 


7020 


7146 


7210 


7273 


7336 


7399 


7462 


Z52§ 


63 


688 


7588 


7652 


7715 


7778 


7841 
8471 


7904 


7967 


8030 


8093 


8156 
8786 


63 


689 


8219 


8282 


8345 


8408 


8534 


8597 


8660 


8723 


63 


690 


838849 


838912 


838975 


839038 


83 9101 


839164 


83 9227 


839289 


83 9352 


839415 


63 


691 


9478 


9541 


9604 


9667 


9729 


9792 


9855 


9918 


9981 


840043 


^3 


692 


840106 


840169 


840232 


840294 


840357 
0984 


840420 


840482 


840545 


840608 


0671 


63 


693 


0733 


0796 


08^9 


0921 


1046 


1109 


1172 


1234 


1297 


63 


694 


1359 


1422 


1485 


1547 


1610 


1672 


1735 


1797 


i860 


1922 


63 


695 


841985 


842047 


84 21 10 


842172 


842235 


842297 


842360 


842422 


842484 


842547 


62 


696 


2609 


2672 


2734 


2796 


2859 


2921 


2983 


3046 


3108 


3170 


62 


697 


3233 


3295 


3357 
3980 


3420 


3482 


3544 


3606 


3669 


3731 


3793 


62 


698 


3855 


3918 


4042 


4104 


4166 


4229 


4291 


4353 


4415 


62 


699 

N. 


4477 


4539 


4601 


4664 


4726 


4788 


4850 


4912 


4974 


5036 


62 
D. 





1 


2 


3 


4 


• 

5 


6 


7 


8 


9 



12 



LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


•4 


6 


6 


7 


8 





D. 


700 


845098 


845160 


845222 


845284 


845346 


845408 


845470 


845532 


845594 


845656 


62 


701 


5718 


5780 


5842 


5904 


5966 


6028 


6090 


6151 


6213 


5^75 


62 


70a 


6337 


6399 


6461 


6523 


6585 


6646 


6708 


8004 


6832 


6894 


62 


703 


6955 


7017 


7079 


7141 


7202 


7?54 


7326 


7449 
8066 


Z5" 


62 


704 


7573 


7634 


7696 


7758 


7819 


7881 


7943 


8128 


62 


705 


848189 


848251 


848312 


^a 


848435 


848497 


848559 


848620 


848682 


848743 


62 


706 


8805 


^66 


8928 


9051 


9112 


9174 


9235 


9297 


9358 


61 


707 


9419 


9481 


9542 


9604 


9665 


9726 


9788 


9849 


9911 


^V 
85 0585 


61 


708 


850033 


850095 


85 0156 


850217 


85 0279 


850340 


850401 


850462 


850524 


61 


709 


0646 


0707 


0769 


0830 


0891 


0952 


1014 


1075 


1 136 


1 197 


61 


710 


85 1258 


851320 


85 1381 


851442 


85 1503 


851564 


85 1625 


851686 


85 1747 


851809 


61 


711 


1870 


1931 


1992 


2053 


2114 


2175 


2236 


2297 


2358 


2419 


61 


712 


2480 


2541 


2602 


2663 


2724 


2785 


2846 


2907 


2968 


3029 


61 


7x3 


3090 


3150 


321 1 


3272 33331 


3394 


3455 


35^6 


3577 


3637 


61 


7M 


3698 


3759 


3820 


3881 


3941 


4002 


4063 


4124 


4185 


4245 


61 


715 


854306 


85 4367 


85 4428 


854488 


85 4549 


85 4610 


85 4670 


854731 


85 4792 


854852 


61 


716 


4913 


4974 


5034 


5095 


5156 


5216 


5??7 


5337 


5398 


5459 


61 


717 


55>9 


5580 


5640 


5701 


5761 


5822 


5882 


5943 


6003 
6608 


6064 


61 


7X8 


6124 


6185 


6245 


6306 


6366 


6427 


6487 


6548 


6668 


60 


719 


6729 


6789 


6850 


6910 


6970 


7031 


7091 


7152 


7212 


7272 


60 


720 


85 7332 


85 7393 


85 7453 


85 75«3 


857574 


857634 


857694 
8297 
8898 


8M755 


85 7815 
8417 

9018 


85 7875 
8477 


60 


721 


7935 


7995 
8597 


8056 


8116, 8176I 


8236 


«57 


60 


722 


8537 


8657 


8718 


8778 


8838 


^8 


9078 


60 


723 


9138 


9198 


9258 


93«8 


9379 


9439 


9499 


9559 


9619 


9679 


60 


724 


9739 


9799 


9859 9918 


9978 


860038 


860098 


860158 


860218 


860278 


60 


7*5 


86 0338 


860398 


860458 860518 


860578 


860637 


860697 


860757 


860817 


860877 


60 


726 


0937 


0996 


1056 


1116 


1176 


1236 


1295 


»355 


1415 


«475 


60 


727 


"534 


X594 


1654 


17H 1773 


1833 


1.893 


1952 


2012 


2072 


60 


728 


2131 


2191 


2251 2310- 2370 


2430 


2489 


2549 


2608 


2668 


60 


729 


2728 


2787 


2847 


2906 


2966 


3025 


3085 


3144 


3204 


3263 


60 


730 


86 3323 


86 3382 


863442 


86 3501 


863561 


863620 


863680 


86 3739 


863799 


863858 


59 


731 


3917 


3977 


4036 


4096 


4155 


4214 


4274 


4333 


4392 


4452 


59 


732 


451 1 


4570 


4630 


4689 


4748 


4808 


4867 


4926 


4985 


5045 


59 


733 


5104 


5x63 


5222 


5282 


5341 


5400 


5459 


5519 


5578 


5637 


59 


734 


5696 


5755 5814 


5874 


5933 


5992 


6051 


6110 


6169 


6228 


59 


735 


86 6287 


86 6346 1 86 6405 


86 6465 


866524 


86 6583 


866642 


866701 


866760 


866819 


59 


736 


6878 


6937 


6996 1 7055 


7114 


7173 


7232 


7291 


7350 


7409 


59 


737 


7467 


7526 
8115 


7585 


7644 


7703 


7762 


7821 


7880 


7939 


7998 


59 


738 


8056 


8174 


8233 


8292 


8350 


8409 


8468 


8527 


8586 


59 


739 


8644 


8703 


8762 8821 1 8879 


8938 


8997 


9056 


9114 


9»73 


59 


740 


86 9232 


869290 


869349 


869408:869466 


86 9525 


869584 


869642 


86 9701 


869760 


59 


741 


9818 


9877 


9935 


9994 , 87 0053 


87 01 1 1 


870170 


87 0228 


87 0287 


870345 


5? 


742 


870404 


87 0462 


870521 


870579 


0638 


0696 


0755 


0813 


0872 


0930 


s! 


743 


0989 


1047 


1 106 


1x64 


1223 


1 281 


1339 


1398 


1456 


'5'5 


58 


744 


1573 


163 1 


.1690 


1748 


1806 


1865 


1923 


1 981 


2040 


2098 


58 


745 


872156 


872215 


87 2273 


87 2331 


872389 


872448 


87 2506 


87 2564 


87 2622 


872681 


58 


746 


2739 


2797 


2855 


2913 


2972 


3030 


3088 


3M6 


3204 


3262 


5f 


747 


3321 


3379 


3437 


3495 


3553 


361 1 


3669 


3727 


3785 


3844 


58 


748 


3902 


3960 


4018 


4076 


4134 


4192 


4250 


4308 


4366 


4424 


58 


749 


4482 


4540 


4598 


4656 


4714 


4772 


4830 


4888 


4945 


5003 


58 


750 


87 5061 


875119 


875177 


87 5235 


87 5293 


87 5351 


875409 


875466 


87 5524 


87 5582 


5! 


751 


5640 


5698 


5756 


5813 


5871 


5929 


5987 


6045 


6102 


6160 


58 


752 


• 6218 


6276 


6333 


6391 


6449 


6507 


6564 


6622 


6680 


6737 


58 


753 


6795 


6853 


6910 


6968 


7026 


7083 


7141 


7*99 


7256 


7314 


5! 


754 


7371 


7429 


7487 


7544 


7602 


7659 


7717 


7774 


7832 


7889 


58 


755 


87 7947 


878004 


878062 


87 81 19 


878177 


87 8234 


8782921878349 


878407 


87 8464 


57 


756 


8522 


8579 


8637 


8694 


8752 


8809 


8866 


8924 


8981 


9039 


57 


757 


9096 


9153 


921 1 


9268 


9325 


9383 


9440 


9497 


9555 


9612 


57 


758 


9669 


972.6 


9784 


9841 


9898 


9956 


880013 


880070 


880127 


880185 


57 


759 

N. 


88 0242 


88 0299 


880356 


880413 


880471 


880528 


0585 


0642 


0699 


0756 


57 
D. 





1 


2 


3 


4 


6 6 


7 


8 


9 



LOGARITHMS OF NUMBERS. 



18 





N. 
760 





1 


a 


3 


4 


6 


6 


7 


8 


9 


D. 

57 




880814 


880871 


880928 


880985 
1556 


881Q42 


881099 


881156 


88 1213 


88 1271 


88 1328 




761 


1385 


1442 


1499 


1613 


1670 


1727 


1784 


1841 


XJ898 


57 




76a 


1955 


2012 


2069 


2126 


2183 


2240 


2297 


2354 


241 1 


2468 


57 




763 


2525 


2581 


2638 


2695 


2752 


2809 


2866 


2923 


2980 


3037 


57 




764 


3093 


3150 


3207 


3264 


3321 


3377 


3434 


3491 


3548 


3605 


57 




765 


883661 


883718 


88 3775 


883832 


883888 


88 3945 


884002 


88 4059 


88 41 15 


884172 


57 




766 


4229 


4285 


4342 


4399 


4455 


4512 


4569 


4625 


4682 


4739 


57 




767 


4795 


4852 


4909 


4965 


5022 


5078 


5135 


5192 


5248 


5305 


57 




768 


5361 


5418 


5474 


5531 


5587 


5644 


5700 


5757 


5813 


5870 


57 




769 


5926 


5983 


6039 




6152 


6209 


6265 


6321 


6378 


6434 


56 




770 


886491 


886547 


886604 


886660 


886716 


886773 


88 6829 


886885 


886942 


886998 


56 




771 


7054 


7III 


7167 


722J 


728Q 


7336 


7392 


7449 
801 1 


Z505 


7561 


5^ 




77? 


7617 
8179 


7674 
8236 


7730 
8292 


7786 


7842 


7898 


8516 


8067 


!'!3 


5^ 




773 


8348 


8404 


8460 


8573 


8629 


8685 


5^ 




774 


8741 


8797 


8853 


8909 


8965 


9021 


9077 


9134 


9190 


9246 


56 




775 


88 9302 


88 9358 


88 9414 


88 9470 


88 9526 


88 9582 


889638 


889694 


88 9750 


889806 


5^ 


' 


776 


9862 


9918 


9974 


890030 


890086 


890141 


890197 


890253 


890309 


89 0365 


5^ 




777 


890421 


890477 


89 0533 


0589 


0645 


0700 


0756 


0812 


0868 


0924 


5! 




778 


0980 


1035 


1091 


1 147 


1203 


1259 


I3>4 


1370 


1426 


1482 


55 




779 


1537 


1593 


1649 


1705 


1760 


1816 


1872 


1928 


1983 


2039 


56 




780 


892095 


892150 


892206 


89 2262 


892317 


89 2373 


892429 


892484 


892540 


892595 


5^ 




781 


2651 


2707 


2762 


2818 


2873 


2929 


2985 


3040 


3096 


3151 


5^ 




782 


3207 


3262 


3318 


3373 


3429 


3484 


3540 


3595 


3651 


3706 


56 




783 


3762 


3817 


3873 


3928 


3984 


4039 


4094 


4150 


4205 


4261 


55 




784 


4316 


437 J^ 


4427 


4482 


4538 


4593 


4648 


4704 


4759 


4814 


55 




785 


894870 


894925 


894980 


89 5036 


895091 


895146 


89 5201 


895257 


895312 


89 5367 


55 




786 


5423 


5478 


5533 


5588 


5644 


5699 


5754 


5809 


5864 


5920 


55 




787 


5975 


6030 


6085 


6140 


6195 


6251 


6306 


6361 


6416 


6471 


55 




788 


6526 


6581 


6636 


6692 


6747 


6802 


6857 


6912 


6967 


7022 


55 




789 


7077 


7132 


7187 


7242 


7297 


7352 


7407 


7462 


7517 


7572 


55 




790 


89 7627 


89 7682 


897737 


897792 


89 7847 


897902 


897957 


898012 


898067 


898122 


55 




791 


8176 


8231 


8286 


8341 


8396 


8451 


8506 


8561 


8615 


8670 


55 


 


792 


8725 


8780 


8835 


8890 


8944 


8999 


9054 


9109 


9164 


9218 


55 


t 


793 


9273 


9328 


9383 


9437 


9492 


9547 


9602 


9656 


9711 


9766 


55 




794 


9821 


9875 


9930 


9985 


900039 


900094 


900149 


900203 


900258 


900312 


55 




795 


900367 


900422 


900476 


900531 


900586 


900640 


900695 


900749 


900804 


900859 


55 




796 


0913 


0968 


1022 


1077 


"31 


1 186 


1240 


1295 


1349 


1404 


55 




797 


1458 


1513 


1567 


1622 


1676 


1 731 


1785 


18^0 


1894 


1948 


54 




798 


2003 


2057 


2112 


2166 


2221 


2275 


2329 


2384 


2438 


2492 


54 




799 


2547 


2601 


2655 


2710 


2764 


2818 


2873 


2927 


2981 


3036 


54 


• 


800 


903090 


903*44 


903199 


903253 


903307 


903361 


903416 


903470 


903524 


903578 


54 




801 


3633 


3687 


3741 


3795 


3849 


3904 


3958 


4012 


4066 


4120 


54 




802 


4174 


4229 


4283 


4337 


4391 


4445 


4499 


4553 


4607 


4661 


54 




803 


4716 


4770 


4824 


4878 


4932 


4986 


5040 


5094 


5148 


5202 


54 




804 


5256 


53«o 


5364 


5418 


5472 


5526 


5580 


5634 


5688 


5742 


54 




805 


905796 


905850 


905904 


905958 


906012 


906066 


9061x9 


906173 


906227 


906281 


54 




806 


6335 


6389 


6443 


6497 


6551 


6604 


6658 


6712 


6766 


6820 


54 




807 


6874 


6927 


6981 


7035 


7089 


7143 


7196 


7250 


7304 


7358 


54 




808 


741 1 


7465 


7519 


7573 


7626 


7680 


7734 


7787 


7841 


7895 


54 




809 


7949 


8002 


8056 


81 10 


8163 


8217 


8270 


8324 


8378 


8431 


54 




810 


908485 


908539 


908592 


908646 


908699 


90 8753 


908807 


908860 


908914 


908967 


54 




811 


9021 


9074 


9128 


9181 


9235 


9289 


9342 


9396 


9449 


9503 


54 




812 


9556 


9610 


9663 


9716 


9770 


9823 


9877 


9930 


9984 


910037 


53 




813 


91 0091 


91 0144 


91 0197 


91 0251 


91 0304 


91 0358 


91 041 1 


91 0464 


91 0518 


0571 


53 




814 


0624 


0678 


0731 


0784 


0838 


0891 


0944 


0998 


105 1 


1 104 


53 




815 


91 1158 


91 1211 


91 1264 


91 1317 


91 1371 


91 1424 


91 1477 


91 1530 


91 1584 


91 1637 


53 




816 


1690 


1743 


1797 


i8qo 


1903 


1956 


2009 


2063 


2116 


2169 


53 




817 


2222 


^Vi 


2328 


2381 


2435 


2488 


2541 


2594 


2647 


2700 


53 




818 


2753 
3284 


2806 


2859 


2913 


2966 


3019 


3072 


3125 


3178 


3231 


53 


- 


819 

N. 


3337 


3390 


3443 


3496 


3549 


3602 


3655 


3708 


3761 


53 





1 


2 


3 

— X 


4 


6 


•e 


7 


8 


9 


D. 



14 



L06ABITHMS OF NUMBERS. 



'n. 

Sao 





1 


2 


3 


4 


6 


6 


7 


8 





D. 

53 


91 3814 


91 3867 


913920 


91 3973 


91 4026 


914079 


91 4132 


91 4184 


914237 


914290 


8az 


4343 


4396 


4449 


4502 


t^l 


4608 


4660 


47»3 


4766 


4819 


53 


8aa 


4872 


4925 


4977 


5030 


5»36 


5189 


5241 


5294 


5347 


53 


8a3 


5400 


5453 
5980 


5505 


Mif 


561 1 


5664 


5716 


5769 


5822 


5875 


53 


8a4 


5927 


6033 


6138 


6191 


6243 


6296 


6349 


6401 


53 


8a5 


916454 
6980 


91 6507 


91 6559 
7085 


91 6612 


916664 


91 6717 


91 6770 


91 6822 


916875 


916927 


53 


8a6 


7033 


7138 


7190 


7243 


7295 


7348 


7400 


7453 


53 


8a7 


7506 


755^ 


761 1 


7663 
8188 


7716 


7768 
8293 


7820 
8345 


7873 
8397 


7925 


7978 


52 


8a8 


8030 


8083 8135 


8240 


8450 


8502 


52 


829 


8555 


8607 


8659 


8712 


8764 


8816 


8869 


8921 


8973 


9026 


52 


830 


919078 


91 9130 


91 9183 


91 9235 


91 9287 


919340 


91 9392 


919444 


919496 


919549 


52 


831 


9601 


9653 


9706 


9758 
920280 


9810 


9862 


99»4 


9967 


920019 


920071 


52 


833 


920123 


920176 


92 0228 


920332 


920384 


920436 


920489 


0541 


0593 


52 


833 


0645 


0697 
1218 


0749 


0801 


0853 


0906 


0958 


lOIO 


1062 


1 1 14 


52 


834 


1166 


1270 


1322 


1374 


1426 


1478 


«53o 


1582 


1634 


52 


835 


921686 


92 1738 


921790 


92 1842 


92 1894 


92 1946 


921998 


92 2050 92 2102 


922154 


52 


836 


2206 


2258 


2310 


2362 


2414 


2466 


2518 


2570 


2622 


2674 


52 


837 


2725 


2777 


28291 2881 


2933 


2985 


3037 


3089 


3140 


3192 


52 


838 


3244 


3296 


3348 3399 


345" 


3503 


3555 


3607 


3658 


3710 


52 


839 


3762 


3814 


3865 


39»7 


3969 


4021 


4072 


4124 


4176 


4228 


52 


840 


92 4279 


924331 


92 4383 


924434 


924486 


92 4538 


924589 


92 4641 


924693 


924744 


52 


84Z 


4796 


4848 


4899 


495 » 


5003 


5054 


5106 


5»57 


5209 


5261 


52 


84a 


53*? 


5364 


5415 


5467 


5518 


5570 


5621 


5673 


5725 


5776 


52 


843 


5828 


5879 


593 « 


5982 


6034 


6085 


6137 


6188 


6240 


6291 


5« 


844 


6342 


6394 


6445 


6497 


6548 


6600 


6651 


6702 


6754 


6805 


51 


845 


926857 


926908 


926959 


92 701 1 


92 7062 


92 71 14 


92 7165 


92 7216 


927268 


92 7319 


51 


846 


7370 


7422 


7473 


7524 
8037 


7576 


7627 


7678 


7730 


7781 
8293 


7832 


51 


847 


7883 


7935 


7986 


8088 


8140 


8191 


8242 


8345 


51 


848 


8396 


8447 


8498 


8549 


8601 


8652 


8703 


8754 


8805 


^§7 


5« 


849 


8908 


8959 


9010 


9061 


9112 


9163 


9215 


9266 


9317 


9368 


51 


850 


92 9419 


92 9470 


92 9521 


92 9572 


92 9623 


929674 


92 9725 


92 9776 

93 0287 


92 9827 


92 9879 


5» 


851 


9930 


9981 


93 0032 


930083 


930134 


930185 


930236 


93 0338 


930389 


5« 


85a 


930440 


930491 


0542 


0592 


0643 


0694 


0745 


0796 


0847 


0898 


5' 


853 


0949 


1000 


105 1 


1 102 


"53 


1204 


1254 1305! 1356 1 1407 1 


5' 


854 


1458 


1509 


1560 


1610 


, 1661 


1712 


'763 


1814 


1865 


1915 


5« 


855 


93 "966 


932017 


932068 


93 21 18 932169 


932220 


932271 


93 2322 


93 2372 


932423 


51 


856 


2474 


2524 


2575 


2626 2677 


2727 


2778 


2829 


2879 


2930 


51 


857 


2981 


3031 


3082 


3133 3183 


3234 


3285 


3335 


3386 


3437 


51 


858 


3487 


3538 


3589 


3639 


3690 


3740 


3791 


3841 


3892 


3943 


51 


859 


399'3 


4044 


4094 


4145 


4195 


4246 


4296 


4347 


4397 


4448 


5» 


860 


934498 


93 4549 


934599 


93 4650 


934700 


93475' 


934801 


93 4852 


934902 


93 4953 


50 


86z 


5003 


5054 


5104 


5*54 


5205 


5255 


5306 


5356 


5406 


5457 


SO 


86a 


5507 


5558 


5608 


5658 


5709 


5759 


5809 


5860 


5910 


5960 


50 


SS3 


6011 


6061 


6111 


6162 


0212 


6262 


6313 


6363 


6413 


6463 


50 


864 


6514 


6564 


6614 


6665 


6715 


6765 


6815 


6865 


6916 


6966 


50 


865 


93 7016 


937066 


937117 
7618 


93 7167 


937217 
7718 


93 7267 


937317 


93 7367 


93 7418 


93 7468 


50 


866 


7518 


7568 


7668 


7769 
8269 


7819 


7869 


7919 
8420 


7969 


50 


867 


8019 


8069 


8119 


8169 


8219 


8320 


8370 


8470 


50 


868 


8520 


8570 


8620 


8670 


8720 


8770 


8820 


8870 


8920 


8970 


50 


869 


9020 


9070 


9120 


9170 


9220 


9270 


9320 


9369 


9419 


9469 


50 


870 


9395»9 


939569 


93 9619 


939669 


939719 


939769 


93 9819 


939869 


939918 


939968 


50 


871 


940018 


940068 


940118 


940168 


940218 


940267 


940317 


940367 


940417 


940467 


50 


87a 


0516 


0566 


0616 


0666 


0716 


0765 


0815 


0865 


0915 


0964 


50 


873 


1014 


1064 


1114 


1 163 


1213 


1263 


1313 


1362 


141 2 


1462 


50 


874 


1511 


1561 


161 1 


1660 


1710 


1760 


1809 


1859 


1909 


1958 


50 


875 


942008 


942058 


94 2107 


942157 


942207 


942256 


942306 


942355 


942405 


942455 


50 


876 


2504 


2554 


2603 


2653 


2702 


2752 


2801 


2851 


2901 


2950 


50 


877 


3000 


3049 


3099 


3148 


3198 


3247 


3297 


3346 


3396 


3445 


49 


878 


3495 


3544 


3593 


3643 


3692 


3742 


3791 


3841 


3890 


3939 


49 


879 

N. 


3989 


4038 


4088 


4137 


4186 


4236 


4285 


4335 


4384 


4433 


49 

D. 





1 


2 


3 


4 


5 


6 


7 


8 






LOGARITHMS OF NUMBERS. 



16 



N. 





1 


2 


3 


4 


6 


6 


7 


8 


9 


D. 

49 


880 


944483 


94 4532 


944581 


944631 


944680 


94 4729 


944779 


944828 


94 4877 


944927 


881 


4976 


5025 


5074 


5124 


5*73 


5222 


5272 


5321 


5370 


5419 


49 


883 


5469 


5518 


5567 


5616 


5665 


5715 


5764 


5813 


5862 


5912 


49 


883 


5961 


6010 


6059 


6108 


6157 


6207 


6256 


6305 


6354 


6403 


49 


884 


6452 


6501 


6551 


6600 


6649 


6698 


6747 


6796 


6845 


6894 


49 


885 


946943 


946992 


947041 


947090 


947140 


94 7189 


947238 


947287 


947336 


947385 


49 


886 


7434 


7483 


7532 


7581 
8070 


7630 


- 7679 


7728 


7777 


7826 


Z^75 
8364 


49 


887 


7924 
8413 


7973 


8022 


8119 


8x68 


8217 


8266 


8315 


49 


888 


8462 


8511 


8560 


8609 


8657 


8706 


8755 


8804 


8853 


49 


889 


8902 


8951 


8999 


9048 


9097 


9146 


9195 


9244 


9292 


9341 


49 


890 


949390 


94 9439 


949488 


94 9536 


949585 


949634 


949683 


949731 


949780 


949829 


49 


89Z 


9878 


9926 


9975 


950024 


950073 


950121 


950170 


95 02x9 


95 0267 


950316 


49 


89a 


95 0365 


95 0414 


950462 


051 1 


0560 


0608 


0657 


0706 


0754 


0803 


49 


893 


0851 


0900 


0949 


0997 


X046 


1095 


"43 


1 192 


1240 


1289 


49 


894 


1338 


1386 


H35 


1483 


1532 


1580 


1629 


1677 


1726 


1775 


49 


895 


95 '823 


95 1872 


95 1920 


951969 


952017 


95 2066 


95 21 X4 


95 2163 


95 221 1 


95 2260 


48 


896 


2308 


2356 


2405 


2453 


2502 


2550 


2599 


2647 


2696 


2744 


48 


897 


2792 


2841 


2889 


2938 


2986 


3034 


3083 


3131 


3180 


3228 


48 


898 


3276 


3325 
3808 


3373 


3421 


3470 


3518 


3566 


3615 


3663 


37" 


48 


899 


3760 


3856 


3905 


3953 


400X 


4049 


4098 


4146 


4194 


48 


900 


95 4243 


95 4291 


95 4339 


95 4387 


95 4435 
4918 


954484 


95 4532 


954580 


95 4628 


95 4677 


48 


901 


4725 


4773 


4821 


4869 


4966 


5014 


5062 


5110 


5158 


48 


902 


5207 


5255 


5303 


5351 


5399 


5447 


5495 


5543 


5592 


5640 


48 


903 


5688 


5736 


5784 


5832 


5880 


5928 


5976 


6024 


6072 


6120 


48 


904 


6168 


6216 


6265 


6313 


6361 


6409 


6457 


6505 


6553 


6601 


48 


905 


956649 


956697 


95 6745 


95 6793 


956840 


95 6888 


956936 


956984 


95 7032 


957080 


48 


906 


7128 


7176 


7224 


7272. 


7320 


7368 


7416 


7464 


7512 


P^i 


48 


907 


7607 


7655 
8134 


7703 
8181 


7751 
8229 


7799 
8277 


7847 


7894 


7942 7990 


8038 


48 


908 


8086 


8325 


8373 


8421 \ 8468 


8516 


48 


909 


8564 


8612 


8659 


8707 


8755 


8803 


8850 


8898 


8946 


8994 


48 


9x0 


95904X 


959089 


95 9137 


95 9185 


95 9232 


959280 


959328 


95 9375 


959423 


959471 


48 


9x1 


9518 


9566 


9614 


9661 


9709 


9757 


. 9804 


9852 


9900 


9947 


48 


9x2 


9995 


960042 


960090 


960138 


960185 


960233 


960280 


96 0328 


96 0376 


960423 


48 


9x3 


960471 


0518 


0566 


0613 


o66x 


0709 


0756 


0804 


0851 


0899 


48 


914 


0946 


0994 


X041 


1089 


1 136 


1184 


1 231 


1279 


X326 


1374 


48 


915 


96 1421 


96 1469 


961516 


96 1563 


96 1611 


961658 


96 1706 


96x753 


96 I Sox 


961848 


47 


9x6 


1895 


1943 


1990 


2038 


2085 


2132 


2180 


2227 


2275 
2748 


2322 


47 


9x7 


2369 


2417 


2464 


251 X 


2559 


26q6 


2653 


2701 


2795 


47 


9x8 


2843 


2890 


2937 


2985 


3032 


3079 


3126 


3174 


3221 


3268 


47 


9x9 


3316 


3363 


3410 


3457 


3504 


3552 


3599 


3646 


3693 


3741 


47 


920 


96 3788 


96 3835 


963882 


96 3929 


96 3977 


964024 


96 4071 


96 41 18 


96 4165 


9642x2 


47 


92 X 


4260 


4307 


4354 


4401 


4448 


4495 


4542 


4590 


4637 


4684 


47 


922 


4731 


4778 


4825 


4872 


4919 


4966 


5013 


5061 


5x08 


5155 


47 


923 


5202 


5249 


5296 


5343 


5390 


5437 


5484 


5531 


5578 


5625 


47 


924 


5672 


5719 


5766 


5813 


5860 


5907 


5954 


6001 


6048 


6095 


47 


925 


96 6142 


966189 


96 6236 


96 6283 


966329 


96 6376 


966423 


966470 


9665x7 


96 6564 


47 


926 


661 1 


6658 


6705 


6752 


6799 


6845 


6892 


6939 


6986 


7033 


47 


927 


7080 


7127 


7^73 


7?22 


7267 


7314 


7361 


7408 


7454 


7501 


47 


928 


7548 


7595 


7642 


7688 


7735 
8203 


7782 


7829 
8296 


7875 


7922 
8390 


7969 


47 


929 


8016 


8062 


8109 


8156 


8249 


8343 


8436 


47 


930 


968483 


96 8530 


96 8576 


96 8623 


96 8670 


96 8716 


96 8763 


968810 


96 8856 


968903 


47 


931 


8950 


8996 


9043 


9090 


9136 


9183 


9229 


9276 


9323 


9369 


47 


932 


9416 


9463 


9509 


9556 


9602 


9649 


9695 


9742 


9789 


9835 


47 


933 


9882 


9928 


9975 


97 002 X 


970068 


970114 


970161 


970207 


97 0254 


970300 


47 


934 


970347 


97 0393 


970440 


0486 


0533 


0579 


0626 


0672 


07x9 


0765 


46 


935 


97 081 2 


970858 


970904 


970951 


970997 


971044 


971090 


97 "37 


97 "83 


97 1229 


46 


936 


1276 


1322 


1369 


1415 


1461 


1508 


»554 


x6oi 


X647 


1693 


46 


937 


1740 


1786 


1832 


1879 


1925 


1971 


2018 


2064 


21 10 


2157 


46 


938 


2203 


2249 


2295 


2342 


2388 


2434 


2481 


2527 


2573 


2619 


46 


939 

N. 


2666 


2712 


2758 


2804 


2851 


2897 


2943 


2989 


3035 


3082 


46 

D. 

1 





1 


2 


3 


4 


6 


6 


7 


8 


9 



16 



LOGARITHMS OF NUMBERS. 



N. 





1 


2 


3 


4 


1 « 


6 


7 


8 


9 


D. 


940 


973128 


973174 


97 3220 97 3266 97 33 "3 1 97 3359 


973405 


97 345 * 


97 3497 


97 3543 


46 


941 


3590 


•3636 


3682 


3728 


3774 


3820 


3866 


3913 


3959 


4005 


46 


94a 


4051 


4097 


4143 


4189 


4235 


4281 


^U 


4374 


4420 


4466 


46 


943 


4512 


4558 


4604 


^4650 


4696 


4742 


4834 


4880 


4926 


46 


944 


4972 


5018 


5064 


5110 


5156 


5202 


5248 


5294 


5340 


5386 


46 


945 


97 5432 


97 5478 


975524 


97 5570 


975616 


975662 


97 5707 


97 5753 


97 5799 


975845 


46 


946 


5891 


5937 


5983 


6029 


6075 


6121 


6167 


6212 


6258 


6304 


46 


947 


6350 


6396 


6442 


6488 


6533 


6579 


6625 


6671 


6717 


6763 


46 


948 


6808 


.6854 


6900 


6946 


6992 


7037 


7083 


7129 


7175 


7220 


46 


949 


7266 


73»2 


7358 


7403 


7449 


7495 


7541 


7586 


7632 


7678 


46 


950 


97 7724 


977769 


977815 


97 7861 


977906 
8363 


97 7952 


977998 


978043 


978089 


97 8135 


46 


95 z 


8181 


8226 


8272 


8317 


8409 


8454 


8500 


8546 


8591 


46 


95a 


8637 


8683 


8728 


8774 


8819 


8865 


891 1 


8956 


9002 


9047 


46 


953 


9093 


9138 


9184 


9230 


9275 


9321 


9366 


9412 


9457 


9503 


46 


954 


9548 


9594 


9639 


9685 


9730 


9776 


9821 


9867 


9912 


9958 


46 


955 


980003 


980049 


980094 


980140 


980185 


980231 


980276 


98 0322 


980367 


980412 


45 


956 


0458 


0503 


0549 


0594 


0640 


0685 


0730 


0776 


0821 


0867 


45 


957 


0912 


0957 


1003 


1048 


1093 


"39 


1184 


1229 


1275 


1320 


45 


958 


1366 


141 1 


1456 


1 501 


1547 


1592 


1637 


1683 


1728 


1773 


45 


959 


1819 


1864 


1909 


1954 


2000 


2045 


2090 


2135 


2181 


2226 


45 


960 


98 2271 


98 2316 


98 2362 


98 2407 


982452 


982497 


98 2543 


982588 


98 2633 


98 2678 


45 


961 


2723 


2769 


2814 


2859 


2904 


2949 


2994 


3040 


3085 


3130 


45 


962 


3175 


3220 


3265 


33«o 


3356 


3401 


3446 


3491 


3536 
3987 


3581 


45 


963 


3626 


3671 


37'6 


3762 


3807 


3852 


3897 


3942 


4032 


45 


964 


4077 


4122 


4167 


4212 


4257 


4302 


4347 


4392 


4437 


4482 


45 


965 


984527 


98 4572 


984617 


984662 


98 4707 


984752 


98 4797 


984842 


984887 


98 4932 


45 


966 


4977 


5022 


5067 


5112 


5157 


5202 


5247 


5292 


5337 


5382 


45 


967 


5426 


5471 


5516 


5561 


5606 


5651 


5696 


5741 


5786 


5830 


45 


968 


5875 


5920 


5965 


6010 


6055 


6100 


6144 


6189 


6234 


6279 


45 


969 


6324 


6369 


6413 


6458 


6503 


6548 


6593 


6637 


6682 


6727 


45 


970 


98 6772 


986817 


986861 


986906 


986951 


986996 


98 7040 


987085 


987130 


987175 


45 


971 


7219 


7264 


7309 


7353 


7398 


7443 


7488 


7532 


7577 
8024 


l^^i 


45 


97a 


7666 


7711 
8157 


7756 


7800 


7845 
8291 


7890 


7934 


7979 


8068 


45 


973 


8113 


8202 


8247 


8336 


8381 


8425 


8470 


8514 


45 


974 


8559 


8604 


8648 


8693 


8737 


8782 


8826 


8871 


8916 


8960 


45 


975 


989005 


989049 


989094 


989138 


989183 


98 9227 


98 9272 


989316 


98 9361 


989405 


45 


976 


9450 


9494 


9539 


9583 


9628 


9672 


9717 


9761 


9806 


9850 


44 


977 


9895 


9939 


9983 


990028 


990072 


990117 


99 01 61 


990206 


99 0250 


990294 


44 


978 


99 0339 


990383 


99 0428 


0472 


0516 


0561 


0605 


0650 


0694 


0738 


44 


979 


0783 


0827 


0871 


0916 


0960 


1004 


1049 


1093 


"37 


1 182 


44 


980 


99 1 226 


99 1270 


99 1315 


99 1359 


991403 


991448 


991492 


99 1536 


991580 


991625 


44 


981 


1669 


1713 


1758 


1802 


1846 


1890 


"935 


"979 


2023 


2067 


44 


982 


2111 


2156 


2200 


2244 


2288 


2333 


2377 2421 


2465 


2509 


44 


983 


2554 


2598 


2642 


2686 


2730 


2774 


2819 2863 


2907 


2951 


44 


984 


2995 


3039 


3083 


3127 


3172 


3216 


3260 


3304 


3348 


3392 


44 


985 


993436 


993480 


993524 


99 3568 


993613 


993657 


993701 


99 3745 


993789 


993833 


44 


986 


3877 


3921 


3965 


4009 


4053 


4097 


4141 


4185 


4229 


4273 


44 


987 


43«7 


4361 


4405 


4449 


4493 


4537 


4581 


4625 


4669 


47^3 


44 


988 


4757 


4801 


4845 


4889 


4933 


•4977 


5021 


5065 


5108 


5152 


44 


989 


5196 


5240 


5284 


5328 


5372 


5416 


5460 


5504 


5547 


5591 


44 


990 


99 5635 


99 5679 


995723 


99 5767 


99 581 1 


99 5854 


99 5898 


995942 


995986 


996030 


44 


991 


6074 


6117 


6161 


6205 


6249 


6293 


6337 


6380 


6424 


6468 


44 


992 


6512 


6555 


6599 


6643 


6687 


6731 


6774 


6818 


6862 


6906 


44 


993 


6949 


6993 


7037 


7080 


7124 


7168 


7212 


7255 


7299 


7343 


44 


994 


7386 


7430 


7474 


75'7 


7561 


7605 


7648 


7692 


7736 


7779 


44 


995 


99 7823 


99 7867 


997910 


99 7954 


99 7998 


998041 


998085 


998129 


998172 


998216 


44 


996 


8259 


8303 


8347 


8390 


8434 


8477 


8521 


8564 


8608 


8652 


44 


997 


8695 


8739 


8782 


8826 


8869 


8913 


8956 


9000 


9043 


9087 


44 


998 


9'3i 


9174 


9218 


9261 


9305 


9348 


9392 


9435 


9479 


9522 


44 


999 


9565 


9609 


9652 


9696 


9739 


9783 


9826 


9870 


9913 


9957 


43 

D. 


N. 





1 


2 


3 


4 


6 


6 


7 


8 


9 



A TABLE 



OF THS 



LOGARITHMIC SINES, COSINES, TANGENTS, 

AND COTANGENTS, 



FOX EVERY 



DEGREE AND MINUTE FROM 0" TO 90". 



18 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 
0° 



6463 716 

.764756 
.940847 

7.065 786 
7. 161 696 

.241 877 
.308824 
.366816 

4.7968 

7.463 726 

-505 "'8 
.542906 

.577668 
.609853 

7,639816 
.667845 
.694173 
.718997 
.742478 

7764 754 
■785 943 
^06146 
.825451 
■843934 

7.861 662 
.878695 
.895085 
.910 879 

7.940841 
.955 082 
.968870 

.98J m 

.995 198 
8.007 787 

x>3i 919 

.043 501 
.054781 
8.06; 776 

^>86965 
.097 183 

8.116926 
.126471 
.135810 

■144 953 
 153907 
8.162 681 



8.204 °7° 
.211895 
.W9581 
.227 134 
■'34 557 

8.241 855 



5017.17 

2934.85 
2082.32 

1615,17 
13 '9-68 

9*6-53 
762,63 
689,87 
629,80 
579.37 
536-42 
499-38 
467.15 
438,80 
41373 
391-35 
37'-*7 
353- '5 
336-72 
3ai.75 
308-05 
195-47 
283,88 
273-' 7 
26313 
254,00 
245-38 



216.08 
109.81 

i'JS 

'83-25 

178-73 
17442 
170.30 

162,65 
159,08 

155-65 
152.3B 

149-23 
146,23 

'43- 3» 
140,55 



125.88 
123.72 

121. 63 



9-999 999 
.999999 
-999999 
-999 999 

9.999998 
-999998 
■999997 
-999 997 
.999996 

9.999996 
■999 995 
-999 995 
■999 994 
■999993 

9-999993 
.999992 
.999991 
-999990 
■999989 

9.999989 
-999988 
.999987 
-999986 
.999985 

9.999983 
.999982 
■99998' 
,999980 
■999 979 

9-999 977 
■999976 
■999975 
■999 973 
.999972 

9-999971 
.999969 
.999968 
.999966 
-999964 

9999963 
,999961 
■999959 
-999958 
.999956 

9-999 954 
,999952 
.999950 

.999948 
.999946 

9.999944 
.999942 
.999940 
■999938 
■999936 

9-999 934 



6-463 726 
.764756 
.940847 

7.065 786 

;24l 878 
.308815 
.366817 

417970 

7^463 727 
.505 120 
-542909 
■577 672 
,609857 

7-639 810 
.667849 
-694 '79 
.719003 
■742484 

7.764 761 
■78595' 
.fiog.55 
,825 460 
.843944 

7,861 674 
.878708 
,895099 
,910894 
.926 134 

7.940858 

■982 253 
.995219 
8^307809 

X120 044 
-031 945 
■043517 
.054 S09 

8^)65806 
.076 531 
.086997 
.097 217 
.107203 

8.116963 

..26 UO 

■'35851 
.144996 

■'53 952 

^'7' 328 
 '79 763 

,196 156 



.127 195 



5017.17 
2934.85 
1082.32 
1615.17 
1319.70 
11 1578 
966.53 
8S2^5S 
762,62 
689,88 
619,82 
579-38 
536^42 
499.38 

♦^15 
438.83 
413.73 
39' 35 
371.28 

353- '7 
336.73 
32' 75 
308,07 
295.50 
283,90 
273,18 
263,25 
154,0c 
24540 
237.37 



203,93 

198.35 

\U^^ 

i83.2i 
'78.75 
'74.43 
170.33 
'66.43 

'59': 

iS5^» 
15142 
149.27 
146.15 

i43^3S 
140.58 
137.88 
'3533 
132.83 

130.45 
118.13 
125.90 

123.77 



-780359 
.772 805 
.765 379 
1.758079 



LOGARITHMIC SINES, COSINES, TANGENTS, 

1° 



AND COTANGENTS. 19 



8.I4I 85s 
.249033 
.256094 
.263043 



.302546 

8.308794 
.3 '4 954 
.3ai 027 
.317 016 
.332 9*4 

8.338753 
■344 S°4 
.350 181 
■3SS 783 
■301 315 

8.366 777 
.37* •?' 
■377 499 
-38276* 
-387 961 

8.393 lOi 
-398 179 
■403 199 

.413068 

8-^17919 
.422 717 
427462 
•43* 'S6 
4.36800 

8.441394 
445 941 
■450440 
■454 893 
■459301 

8.463 665 
-467 985 
472 263 
■476498 
-480693 

S484848 
.48S963 

-493 040 
■497 078 

8-5°5 045 



119.63 
117.68 
115.80 



108-83 
107.23 
105.65 
104.13 
102.67 

99-82 
98.47 
97-15 
95-85 
94.61 
93-37 
92.ZO 
91.03 
89-90 
8S.80 
87.72 
86.67 
85.65 
84.63 
83.67 
82.70 



79.97 
7908 
78-J3 
77-40 
76.57 
75-78 
74-98 
74.22 
73-47 
73-73 



6795 

66.08 

65.48 
64.S8 
64-32 
63^75 
63.20 
62.65 



9-999934 
-999 93* 
-9999*9 
.999927 
-999 9*5 

9.999 922 
.999920 
.999918 
•999915 
.999913 

9.999910 
.999907 
.999905 
.999902 
-999899 

9.999897 
•999894 
.999891 
.999888 
-999885 

9.999882 
■999879 
.999876 
■999873 
■999870 

9.999867 
.999864 
,999861 
■999858 
.999854 

9.999851 
.999848 
-999844 
■999841 
■999838 

9.999834 
■999831 
.999827 
■9998*4 
.999820 

9999 816 
.999813 
.999809 
.999805 
.999801 

9-999 797 
-999 794 
-999790 
-999786 
-99978* 

9-999 778 
■999 774 
.999769 
■999765 
■999 761 

9999 757 
■999 753 
■999748 
■999 744 
.999740 

9-999 735 



8.241 921 
.149 102 
.256 16s 
■263115 
.269 956 

8.276691 
■283 3*3 
.289 S56 

.302 634 

8.308884 
■315046 
.311 112 
-3*7 "4 
-333025 

8.338 856 
.344610 
-350 289 
-355 895 
.361 430 

a366 895 
.372 292 
-377 622 
-382889 
.38S092 

8.393 *34 
-398315 
-403338 
408304 
•413*13 

8418068 
422869 

■43*315 

436962 
S.441 560 
.446 1 10 
450613 
.455070 
-459 481 
8463 849 
468172 
■47* 454 
.476693 
■480892 
8485 050 
489170 
■493 *50 
497293 

8^505 267 

■513098 
.516961 
-520790 
S.524586 
■528349 

■535 779 
■539447 
8.543084 



107.27 
105.70 
104.17 



9987 
98.52 
9718 
95.90 
94^65 
93-43 

91.08 
89.95 



8570 
S4.6S 
8372 



76.63 
7583 



69.30 

68.67 
68/x. 

67-38 
66-75 
66,15 

65-55 
64.97 
64-38 

63.82 
6327 

62! iS 
61,65 
61.13 



JjlA 



Bin. 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENT& 
2° 



8.543819 

.546 4M 
-549 99S 
■553 539 
■557054 

S.560 540 
-563999 
■567 43' 
.570 836 
•574 *'4 

8-577 566 
.580892 
.584 193 
.587469 
.590721 

8.593948 
■597 '52 
.600331 
-603489 
.606613 

8.609734 
.612823 
.6.5 89. 
.618937 

8.614 965. 
.637948 

■633 854 
.636 776 
8.639 6*0 
.642 563 
.645428 
.648274 

.651 I02 

8.653911 

.659 475 

^664 968 
S.667689 
.670393 

.67s 751 
.678 405 

8,681 043 
.683665 
.686272 
.688863 
.69. 438 

8.693998 

.696 543 
.699073 
.70158^ 
.704090 

8.706577 
.709049 
.711507 
■7"39S2 
■716383 

8.718800 



Odi. 



60.05 

59-55 
59-07 
58.58 
58.io 

57-65 
57.20 
56.75 
56-30 
55.87 
55-43 
54.60 

54-»> 

53-78 



52.23 

5 '-85 
S'48 
51. <3 
50-77 
50.42 
50.05 
49.72 
4938 
49.05 
48.70 
4840 
48.05 
47-75 
47-43 
47- "3 
46.82 
46.52 
46.22 
45.92 
45-63 
45-35 
45-07 
44-78 
44-5* 
44-23 
43-97 
43.70 
4345 
43.18 
42.92 



9-999 735 
999 73' 
.999726 
.999722 
-999 7' 7 

9 999 7"3 
,999708 
■999704 
.999699 
.999694 

9.999689 
.999685 
.999680 
.999675 
.999670 

9.999665 
.999660 
.999655 
.999650 
.999645 

9.999640 
.999635 
.999629 
.999624 
.999619 

9.999 614 
.999608 
■999603 
■999 597 
■999592 

9.999586 
.999581 
■999 575 
.999570 
.999564 

9-999 558 
■999 SS3 
■999 547 
.999541 
■999 535 

9-9995=9 
.999524 
.999518 
.999512 
.999506 

9.999500 
-999 493 
.999487 
.999481 
■999 475 

9.999469 
■999 463 
.999456 
.999450 
■999443 

9.999 437 
■999431 
.999424 
.999418 
.999411 

9.999404 



Tu. 



8-543 084 
.546 691 

^553 8.7 

■557 336 
8.560828 
,564291 
■567 727 
.57' '37 
.574 520 
8,577877 
.581 20S 
-584514 
■587 795 
.591051 

8.594 iHi 

-597 492 

.603 839 
.606978 

8.610094 
.613 189 
.616 262 
■619 3'3 
-622 343 

8,625 35* 
.62S340 
.631308 
.634 256 
■637 '84 

S.640093 

■645 853 
.648704 
■65' 537 

81654 352 
.657 149 
.659 9 28 
.662689 
.665 433 

8.668160 
.670 870 
.673 563 
.676 239 

8,68 1 544 

.684172 
.686 784 
.689381 
.691 963 

8.694529 
.697081 
.699617 
-702 139 
.704646 

8.707 140 

J' 2 083 
.7'4 534 
.716972 
8.719396 



59.62 
59- '5 
58.65 
58.20 

57-7* 
57-27 
56.83 
5638 
SS-9S 



54.68 
54.27 
53-87 
53-48 
5308 
52.70 
52-32 
5' 93 
5.. 58 
51.22 
50.85 
50.50 
50.15 
49,80 
4947 
49- '3 
4S.80 
48.48 
48..S 
47-85 



46.92 
46.62 
46-32 

45-73 
45'4S 



42,03 
4'-78 
41-57 
4'-3o 



M56916 
453309 
449732 
446183 
442664 

'-439 '72 
-435709 
■432 273 
42S863 
425480 

1422123 
418 792 
.415486 
412205 
408949 

1405717 

.399 323 
.396 161 
■393022 
1-389906 
.386811 
■383738 
380687 
377 657 
374648 



362 816 

.359907 
.357018 
.354 147 
-35' 296 
■348463 
345648 
■342851 
.340072 
337 3"" 
■334 567 
•33' 840 
329130 
326437 
323 761 



321 " 



305 471 
.302919 
---383 



.290382 
.287917 
.285 466 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 21 

30 



Sin. 






8.718800 


z 


.721 204 


2 


•723 595 


3 


.725 972 


4 


•728 337 


5 


8.730688 


6 


•733 027 


7 


•735 354 


8 


.737 667 


9 


.739 969 


10 


8.742 259 


II 


.744 536 
.746 802 


12 


13 


•749055 


14 


.751 297 


15 


8.753 528 


16 


•755 747 


17 


.757955 


18 


.760 151 


19 


•762 337 


20 


8.764 511 


21 


.766 675 


22 


.768 828 


23 


.770970 


a4 


•773 101 


as 


8.775 223 


26 


•777 333 


27 


.779 434 


28 


.781 524 


29 


.783 605 


30 


8.785 675 


. 31 


.787 736 


32 


.789 787 


33 


.791 828 


34 


.793 859 


35 


8.795 881 


36 


•797 894 


37 


.799 897 
.801 892 


38 


39 


,803 876 


40 


8.805 852 


41 


.807 819 


4a 


•809777 


43 


.81 1 726 


44 


.813667 


45 


8.815599 


46 


.817522 


47 


.819436 


48 


.821 343 


49 


.823 240 


50 


8.825 130 


51 


.827011 


52 


.828 884 


53 


.830 749 


54 


.832 607 


55 


8.834456 


56 


.836 297 


57 


.838 130 


5« 


.839 956 


59 


.841 774 


60 


8.843 585 



D. 1". 



OOB. 



40.07 

39^85 

39.62 

3942 
39.18 

38.98 

38.78 

38.55 
38.37 
38.17 

37-95 
37-77 
37-55 
37-37 
37-18 

36.98 
36.80 
36.60 

36.43 
36.23 

36.07 
35-88 
35.70 
35-52 
35-37 

35-^7 
35.02 

34.83 
34.68 

34.50 

34.35 
34.18 

34.02 

33^85 
33.70 

33.55 
33.38 

33-25 
3307 
32.93 

32.78 
32.63 
32.48 

32.35 
32.20 

32.05 
31.90 

31.78 
31.62 

3*-5o 

3»-35 
31.22 

31.08 

30.97 
30.82 

30.68 

30.55 
30.43 
30.30 
30.18 

D. 1". 



O08. 



9.999 404 
•999 398 
•999391 
•999384 
•999 378 

9.999 371 
.999364 

•999 357 
.999 350 
.999 343 

9-999 336 

-999 329 
.999322 

.999315 
•999 308 

9-999 301 
.999294 

.999 287 

-999279 
•999 272 

9.999 265 
.999 257 

.999 250 
.999242 

.999235 
9.999 227 
.999220 
.999212 
.999 205 

•999 197 

9.999189 
.999 181 
.999174 
.999 166 
.999 158 

9.^9 150 
•999 142 

.999134 
.999 126 

.999 118 

9.999 1 10 
.999 102 

•■999094 
.999086 

.999 077 

9.999069 

.999 061 

.999 053 

.999044 

•999 036 

9.999 027 

-999019 
.999010 

.999 002 

•998 993 

9.998 984 

-998 976 
.998 967 
.998 958 
-998 950 
9.998 941 

Sin. 



D. 1". 



10 
12 
12 
10 
12 

12 
12 
12 
12 
12 

12 
12 
12 
12 
12 

12 
12 

>3 
12 

12 

13 
12 

13 
12 

13 
12 

13 
12 

13 
13 

13 
12 

13 
13 
13 

13 
«3 
13 
13 
13 

13 
13 
13 

»5 
13 

13 
13 
15 
13 
15 

13 
15 
13 
»5 
15 

13 
15 
15 
13 
15 



D. 1". 

8^ 



Tan. 



8.719396 
21 806 
24204 
26588 
28959 

8.731 317 
33663 

35996 

38317 
40 626 

8.742 922 
45 207 
47 479 
49 740 
51989 

8.754 227 

56453 
58668 

60872 

63065 

8.765 246 
67417 

69578 
71727 

73866 

8.775 995 
78114 
80222 
82320 
84408 

8.786 486 

88554 
90613 
92662 

94 701 

8.796 731 

98 752 
.800763 
.802 765 
.804 758 

8.806 742 
.808717 
.810683 
.812641 
.814 589 

8.816 529 
.818461 
.820 384 
.822 298 
.824 205 

8.826 103 
.827 992 
.829 874 
.831 748 
.833613 

8.835 471 
.837 321 
•839 163 
.840 998 
.842 825 

8.844644 
dot. 



D. 1". 



40.17 
39.97 
39-73 
3952 
3930 
39.10 
38.88 
38.68 
38.48 
38.27 
38.08 

37-87 
37.68 

3748 
3730 
37-IO 
36.92 
36.73 
36.55 
36.35 
36.18 
36.02 
35-82 
35-65 
35-48 

35-32 

35-"3 

34-97 
.34.80 

34-63 

34.47 
34-32 
34.15 
33-98 
33-83 
33-68 
33-52 

33^37 
33-22 

3307 

32.92 

32.77 
32.63 

3247 
32.33 
32.20 
32.05 
31.90 

31-78 
31-63 
31.48 

3«-37 

31-23 
31-08 

30.97 
30.83 
30.70 
30.58 

3045 
30.32 

D. 1". 



Got. 



1.280604 


60 


-278 194 


59 


-275 796 


58 


.273412 


57 


.271 041 


56 


1.268 683 


55 


.266 337 


54 


.264004 


53 


.261 683 


52 


.259 374 


51 


1.257078 


50 


.254 793 


49 


.252521 


48 


.250 260 


47 


.248 01 1 


46 


1.245 773 


45 


-243 547 


44 


-241 332 


43 


.239128 


42 


.236 935 


41 


1.234754 
.232 583 


40 


39 


.230 422 


38 


.228 273 


37 


.226 134 


36 


1.224005 


35 


.221 886 


34 


.219 778 


33 


.217680 


32 


.215592 


31 


1.213 514 


30 


.211 446 


29 


.209387 


28 


.207 338 


27 


.205299 


26 


1.203269 


25 


.201 248 


24 


•199237 


23 


.197 235 


22 


.195 242 


21 


1. 193 258 


20 


.191 283 


19 


.189317 


18 


.187359 


17 


.185411 


16 


1.183 471 


15 


.181 539 


14 


.179616 


13 


.177 702 


12 


."75 795 


II 


1.173897 


10 


.172008 


9 


.170 126 


8 


.168 252 


7 


.166387 


6 


1.164529 


5 


.162679 


4 


.160837 


3 


.159002 


2 


.157175 


I 


I-X55 356 






Tan. 



22 LOGARITHMIC SINES, COSINES, TANGENTS. AND COTANGENTS. 

4° 



8.843585 I 
-«45 387 
.847 183 
.84897' 
.850 751 

8.852 5^5 
.854 291 
.S56 049 
.857 801 
.859 546 

8.S61 283 
.8630:4 
.864738 
.866455 
.868 165 

8.S69S68 
■87" 56s 
.873 2SJ 
■874 938 
.876615 

8.878 285 
.879 949 
.881 607 



-893035 

8.894 643 
.896246 
.897842 
.899432 
.901 017 

8.902 596 
.904169 
■905 736 
.907 297 
.908853 

8.910404 
.911949 
.913438 
.9150M 
.916550 

8.918073 
.919591 
.921 103 

.924112 

S.925 609 
.927 100 
.928 587 
.930068 
■93' 544 

8.933015 
.934481 
■935 942 
■937 398 
.938850 

S.940196 



30.03, 
29.93 
29.80 
29.67 
29^57 
29-43 
29.30 
29.20 
29.08 
28.95 
33.85 
28.73 
38.62 
28.50 
28.38 
28.28 
28.17 
28.05 
27-95 
27-83 
a7>73 



26.60 
26.32 



a5^47 
25^38 
35-30 



24-43 

2435 
24.27 



9.998941 

.998932 
■998 923 
.998914 
.998905 

9.998896 
.998887 
.99S 878 
.998869 
.998 S60 

9.998851 

.998841 

.998832 

18823 

18813 

9.998804 

■998 795 

18785 

18776 

.^^8766 

..J8757 

.998747 

.998 73a 

18728 

«7i8 

9.998708 
.998699 
.998689 
.998679 
.998669 

9.998659 
.998649 
■998639 
.998 629 
.998619 

9.998609 
.998599 
■998589 
*-«578 



'8537 

..'8527 

.998 5'6 

9.998 506 

■998495 

■998485 

.998 474 

(8464 

18453 



.998410 
9998 399 



8,844644 
-84645s 
.848260 
.850057 
.851 846 

8.853 628 
.855 403 
.857171 
.856 93* 



.865906 
.867 633 

■869 35' 
8.871064 

.872 770 
.874469 
.876 162 
.877 849 
8.879 5=9 
.881 202 
.882869 



.S92 742 
.894366 
8.895984 
-897596 
.899303 

.902398 
8.903987 
-905 570 
.907 147 
.90S 719 
.910285 
8.91 1 846 
.913401 
-9 '4 95' 
.916495 
.918034 
8.919 56S 
.921096 

.924 136 
.925 649 

8-927156 
.928 658 
■930 '55 
.931 647 
■933 '34 

8.934 616 
■936093 
■937 565 
.939 032 
.940494 

8.94' 952 



39.70 
29.58 
29-47 



28.65 
*855 

28^3 
38.33 



37-78 
27.68 
27.58 
*7^47 
=738 
27.27 
37.17 
27.07 
26.97 



26.58 
26.48 

36.38 
26.38 



*5-73 
25.65 
!f5-57 
2547 
*538 



24.53 

24-45 
24^37 
24-30 



Cat. 
'■'55356 
■'S3 545 
.151 740 
-149943 
.148154 

1.146372 

1597 

.141068 
■139 314 

1-137 567 
■'35827 
.134094 
.13*368 
.130 649 

1.12S936 
.127330 
■■*5S31 
.123838 
2151 
0471 



115470 
..3815 
112167 



.089715 
1.088 154 
.086599 
.085049 
■083 505 
rf>Si966 
1.080432 
.078904 
.077 381 
.075 864 
.074 35" 
1.072844 

.071 342 

.069845 

.06S 353 
.066866 
1.065 384 
.063907 
.062 435 
.060968 
.059 506 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

50 



.940 296 
■941 738 
.943 174 

,944606 
,946034 

•M7 4S6 
.948 874 
.950187 
.951696 
■953 100 
■954 499 
■955894 
■957 284 
.958 670 

.961 429 
,962 Soi 
.964170 
■96s 534 
.966893 
.968249 

.970947 



.984189 

.985 49' 
.gS6 789 



.993 aaz 

■994 497 
•995768 
.997036 
■998299 
.999560 
0S16 



.007044 
.ooSxjS 
.009510 
'"0737 

3182 
.014400 
5613 
6814 
8031 

9 '35 



Ooi. 



i4°3 
33^93 
2387 
23.80 
23.70 
2363 
^■3-55 
13..^ 
23.40 
*3-3* 
*3^25 



9.998344 
■998333 
■998 322 
.998311 
.998300 

9.998 289 



.998 197 
.998 186 
9.998 174 



9.997 996 
.997984 
■997 97* 
■997 959 
■997947 

9997 935 
■997 922 
.997 910 
■997897 
■99788s 

9.997 872 
.997860 
■997847 
■997 835 
.997 812 

9.997809 
■997 797 
■997784 
.997771 
.997 758 

9997 745 
.997 732 
■997 719 
.997706 
■997693 

9.997680 
.997667 
-997 654 
.997641 
.997 62S 

9997614 



Bin. 






8.941 952 
.943404 
■944 851 
■946 295 
•947 734 

8^949 168 
•950597 
.952021 
■953 441 
•954 856 

8.956 26; 
■957 674 
■559 075 
■960 473 
.961 866 

8.963255 
.964639 
.966019 
■967394 
.968766 

8.970133 
■971 496 
■97* 855 
.974209 
■975 560 

S.976906 
.978148 
■979 586 



8.990 149 

■991 45' 

.992 750 
■994045 

■995 337 
8.996624 

.997908 

■999188 
9^000 465 

.0017^ 
9.003007 

■OOS534 
.006792 

9.009298 
546 



1790 



23.90 
23.82 
■23^73 
33.67 
=358 
23-52 
23-45 
23-35 
23-30 

23.15 

23-07 



2a45 
20.33 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 
^ 



Oct. 



9.0IS ao3 

.017 567 
.oiS 744 
x>399iS 

9J33I089 
.032 257 
■033 41 ' 
.034582 
■035 741 

9.036 S96 
.038048 
.039 197 
.040342 
.041 485 

9,041 6x5 
.043 762 
.044895 
.046 026 
.047 154 

9.048 279 
.049400 
JD50519 
.051 63s 
.052 749 

9-053859 
.054 966 

■057 17a 
.058271 

9.059 367 

■^' i^' 
.062639 

9.064806 

.065885 

.068 036 

9.070176 

.072306 
.073 366 
.074424 
9.075 480 
■076 533 
.077 583 

.079 676 
9X>8o7i9 
■081759 
.082 797 
.083 832 



19-5' 
1947 
1940 
'9-35 
19.32 



18.75 

1 8.68 
lS-65 
1S.6D 
Z8.57 
18.50 
18.45 
18.42 

'8.3S 
18.32 

18.27 

l8.2I 

18.18 
18.13 
18.08 
18.03 
17.98 
I7-9S 



9.997 614 
.997601 
■997588 
■997 574 
■997 5*' 

9^997 547 
■997 534 
.997520 
.997507 
■997 493 

9.997480 
,997466 
■99745* 
■997 439 
■997 4*5 

9.997 41 1 
■997 397 
■997 383 
■997369 
■997 355 

9-997 341 
■997 3*7 
.997313 
.997299 
.997285 

9.997 271 
-997 *57 
.997242 
.997 228 
-997 214 

9.997 199 
■997 "85 
,997170 
■997 '5^ 
■997 '41 

9-997 "7 
.99711a 
.997098 
.997083 
.997 oM 

9997 053 
.997039 
.997024 
.997009 
.996994 

9.996 979 
.996964 
.996949 
■996934 
.996919 

9.996904 

.996 8S9 
.996874 
.996 858 
.996843 

9.996818 
.996812 
.996797 
.996782 
.996766 

9-996 75' 



-026455 

9.027 655 
J32S852 
.030046 
.031 237 
.032425 

9.033 609 
.034 79> 
.035969 
.037144 

9.039 4S5 

.041 813 
.042973 
.044130 
9.045 2S4 
.046434 
.047 582 
.048727 
.049869 

.052 144 
■053 *77 
-054407 
■OSS S35 
9,056659 
■057 781 
,^900 

9.062 140 
J363 348 

.064453 
,065556 



.072113 

9-073 «97 

x>74 278 
-075356 
-076432 
-07750s 
9-078 576 
-079 &44 

-081 773 
.082 833 
9-083891 
-084947 



19.95 
19.90 
19.85 
19-80 
'9-73 
19.70 



18.93 
18.88 
18.83 
1S.80 
18.73 
18.70 
1S.65 
18.60 
«8-57 
18.50 

18.47 
tS.42 
18,38 
18,32 
18.28 
18.23 
i8.so 
18.15 
18.10 
18.07 
18.03 



17.67 
'7-63 



0.978380 
.977 166 
■975 956 
■974 749 
■973 545 

0.97a 345 
■97' 148 
-969954 
.968763 
■967 575 

0,966 391 
.965209 
■964031 
.961 S56 
.961684 

0.960515 
■959 349 
,958 187 
■957027 
■955 870 

0.954716 
■953 566 
■95* 4' 8 
■95 » a73 
.950 131 

0,948992 
■947 856 
■946 7*3 
•94S 593 
.944465 

0-943 341 
.942119 
.941 100 
■939984 
.938870 

0.937 760 
-936 652 
■935 547 
.934444 
-933 345 

0.932 248 

n^ '54 
.930062 
.928973 
■9*7887 

.9*5 7** 
.924644 
■9*3 568 
.922495 
0.921 424 
.920356 
.919290 

.917 167 
0.916 109 

9' 5 053 
,914000 
.912950 



LOGARITHMIC SINES, COSINES, TANGENTS, 
70 



AND COTANGENTS. 25 






9.a8| 894 

.087947 
A>88 97o 
xiSgggo 
9.091008 

■093037 
.094047 
.095 056 
9.096 o6z 
.097065 
.098066 
.099065 

9.101 056 



9-110873 
..11841 



.116656 
.117613 
 118567 
.119519 



■127 993 
.128925 

9-' '9 854 
.13078" 
.131706 
.132630 
■'33 55" 

9.134470 
.135387 
•30 303 

■\w" 



■141 754 
.142 655 

9-'43 5SS 



16.83 
16.82 

16.77 



16-57 

16.47 

'6-37 
•6-35 
16.30 

16.23 



15-73 
•S-70 
iS^65 



•53* 
15.28 
15-27 



9-99675' 
■996 73S 
I .996730 
.996704 
.996688 

9.996673 
.996657 
.996641 
.996625 

9.996 594 
.996578 
.996562 
.996546 
.996530 

9-996 5M 
-996498 
.996482 
■996465 
.996449 

9.996433 
.996417 
.996400 
.996384 
.996368 

9-99635' 
-996335 
.996318 
.996302 
■996285 

9.996269 
.996252 
.996235 
.996219 
.996202 

9.996 185 
.996168 



.996117 
9.996100 

-996083 

.996049 
.996032 

9.996015 
.995998 
.995980 
■995 963 
■995 946 

9-995 928 
-995 9" 
.995894 
■995 876 
-995 859 

9-995 84' 
■99S 823 
-995806 
.995788 
■995 77' 
, 999S753 



.092266 

■093 302 

9.094 336 

■095367 

.096395 

.097422 

.098446 

9.099 46S 

0487 

1504 

2 5'9 

'03 S3* 

,104542 

106556 



'3 533 
14 521 
'5507 
16 491 
17472 
18452 
19429 



'>3 3'7 
124284 

125 249 

127 172 
128 130 

'30041 
'30994 

'31 944 
'32893 

'33839 
■'34784 

"35 726 
136667 
137605 
138542 
.'39476 
.140409 
141 340 

'43 196 



'6.83 
16.80 
16,77 

16^68 
16.65 
16.63 
16,58 

;6.S3 

1647 
'6.43 



.5.68 

'5-63 
'5-62 

1S-S7 
'555 
15.52 
1548 



■907734 
.906698 

0.905664 
-904633 
-903605 
.902 578 
■901 554 

0.900532 
■899513 
.89S496 
■897481 
.896 46S 

0.895 458 
-894450 
-893444 
.893441 
.891440 

0,890441 
.889444 
.888449 
■8S7 457 
.886467 

0.885 479 
■884493 
■883 509 
.882 528 
.S3i 548 

0.880571 
.879 596 
,878623 
-877652 
.876 683 

0.875 7'6 
■874 751 
.873789 
.872 828 
.871 870 

0.870913 
.869959 
.869006 
.868056 
.867 107 

0.866 t6i 
.865 216 
.864274 
■863 333 
.862 395 

0.861 458 
-860524 
.859591 
.858660 
.857 73' 

0.856 804 
.855 879 
.854956 
■854034 
■853115 

0.852 197 
Tu. 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 






»43 S5S 
•44453 
'45 349 
146243 

147 136 

1 48 026 
148915 

150686 
15' S^ 

152451 
'53330 

iS5°S3 
155957 
"56830 
157700 
158569 
159435 

16Z025 

^62885 
63743 
164600 
165454 
166307 



: 70 547 
17-389 
72230 
173070 
173908 
174744 
'75578 
176411 
177242 
178072 
178900 
179726 
'80551 
181 374 
1S2196 
1S3016 
183834 
184651 
185466 
186 2S0 
18709a 
187903 
188712 
'89519 
190325 

'9' 933 

'92734 
193534 
194 33* 



14.70 
14-65 
14.63 
'4-S8 

'4-57 
'455 

'4-5'' 

i4-»8 
1443 
14-43 
14.38 

1435 
1433 
1430 
14.38 
14-23 

14-22 



13-85 
'383 

13.80 

•3-77 
'375 
•37a 
13-70 
13-67 
13.63 

I3.58 
•3-57 
13.53 
135* 



Ooi. 



9-995 7S3 

■995 735 
-995 7'7 
-995699 
■995681 

9-995664 
.995646 
.995 628 
.995 610 
•995 59' 

9-995 573 
■995 555 
-995 537 
■995 5 '9 
■995 50' 

9.99s 482 
■995464 
.995446 
■995 4*7 
-995409 

9.995 390 
-995 372 
-995 353 
-995 334 
-995 316 

9.995 297 
■995 278 
.995260 
.995 241 
.995 222 



■995 146 
.995 '27 

9-995 '08 
.995089 
■995 070 
-995051 
-995 032 

9.995013 
■994993 
.994974 
.994955 
-994935 

9.994916 
.994896 
-994877 
■994857 
.994838 

9.994818 
.994798 
-994 779 
.994 759 
-994 739 

9.994720 
.994700 
.994680 
.994660 
.994640 

9.994620 



9.147803 
.148718 
.149632 
.150 544 
.151 454 

9-15^363 
-153269 
-'54 174 
■155077 
.155978 

9-156877 
-'57 775 
.158671 
■159565 
.160457 

9.161 347 

-163 123 

.164892 

9.165 774 
.166654 
.167532 
.168409 
.169284 

9.170157 
,171029 
.171899 
.172767 
-'73634 

9. '74 499 
.175362 
.176224 
.177084 
.177942 

9.178799 
.179655 



■185597 
.186439 
9.187 280 
.1S8120 
.188958 
.189 794 

9.191 461 
.192 294 
■193124 

■'93953 
.194780 

9.195606 
.196430 
•197253 
.198074 
.198894 

9-199713 



'4-97 
14-93 
14.90 



14.78 
'475 
1473 
14.70 



14.58 
'4-55 
'4-53 
14-50 
'447 
1445 
14.42 
'4-38 
'4^37 



14-27 

14.1S 
"+'3 



13.87 
"3.83 
'3-82 
'378 



1368 

13.67 
'3-6s 



Oai. 



Sin. 



LOGARITHMIC SINES, COSINES, TANGENTS, 



AND COTANGENTS. 27 



Ooi. 



194332 
195 '*9 
.19s 925 
96719 
,197511 
198302 
199091 
199879 
3cx>666 
201451 

.203017 
■»3 797 
.204577 
■205354 
.206131 

,207 679 

209 22Z 
209992 



S3J8 

.216 854 

.7609 



"TO 573 



23" 715 

232444 
3317a 
233899 
.234 625 

«35 349 
■236073 
■236 795 
■237 S"5 
238 235 
238953 
239670 



9.994620 
.994600 
.994 5S0 
.994560 
.994540 

9-994 5 '9 
■994 499 
■994 479 
-994 459 
■994438 

9.994418 
■99439a 
■994 377 
■994 357 
■994336 

9^994 316 
■99429s 
■994274 
-994 254 
■994233 

9.994212 
.994191 
.994171 
■994 150 
.994129 

9.994108 
.994087 
.994 06G 
■99404s 
-994024 

9.994003 
■993 982 
.993960 
■993 939 
.993918 

9993 897 
■993 875 
-993 354 
■993 832 
.993811 

9^993 789 
■993 768 
■993 74<' 
■993 725 
•993703 

9.993 681 
.993660 
■993 638 
.993616 
■993 594 

9^993 572 
■993 550 
■993 528 
.993506 
■993484 

9.993462 
■993440 
.993418 
■993396 
■993 374 

9993 35 « 



9-203 782 
.204 592 

.207013 
9.207817 
.208619 



■213 40s 
■214989 



.218926 
9,219710 



.225 156 
.225 929 

9.227471 

.22& 139 

.229 773 

■230 539 
9.231 302 
.232065 
.232 826 
■233 586 
■234345 
9.235 103 
■235 859 

-237 368 
.238120 

9-238 872 
.239 622 
.240371 
.241 118 
.241865 

9.242 610 
-243 3S4 
.244097 
.244839 
■245 579 

g.246319 



.799471 
■798 655 
.797841 
■797029 



.794600 
■793 793 
■792 987 
.792 183 
■79' 381 
.790580 
.789780 
.7S8 982 
.788 185 
.787389 
■786 S9S 
.785802 
.785011 
,784 220 
■783432 
.782644 
.781 858 
,781074 
.780290 
,779 50S 
778 728 
777 948 
777 '70 
776 393 
775 61S 
774 844 
774071 
773300 
.772 529 
771 761 
770993 
.770 227 
.769461 
.768698 
767 935 
767174 
.766414 
765 655 
.764897 
.764 141 
763386 
.762 632 
,761880 
.761 128 
760378 
■759 629 
,758882 
■758 "35 
'57 390 

■55903 
■55 '6' 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTa 
10° 



H. 


am. 


D. 1". 


Om. D 


1". 


Tu. 


C 


o 


'■^.% 


"■93 


999335' 


37 


9.246319 






.993329 


.247 057 






.241 lOI 


■993307 


■247794 




3 


.241814 


\\% 


.993284 




.246 530 




4 


.24a 526 


.993 262 


37 
37 


.249264 




5 


9-243 237 


Wll 


9.993240 


38 


9.249998 




6 


■243947 


■993217 


.250 730 




7 


.244656 


n.78 
11.77 
11.77 
11.72 
11.72 


■993 195 


'i 


.25146. 




8 


■145 363 


■993172 


37 


.252 191 




9 


.246069 


.993 '49 


.252920 




ID 


9.246 775 
.247 47S 


9.993 ia7 


9.253 648 






-993104 


■254 374 






.24S181 


.993081 


.255 100 




13 


.248883 


]j63 


■993059 


i 
1 

i 


■255 824 
■256 547 




14 


■149 583 


■993036 




«5 


9.250 282 


9993013 


9.257 269 




i6 


.250 980 


.992990 


.257990 




17 


■251 ^77 


ii!6o 


.992967 


.258710 




18 


■^5*373 


11.57 
11.57 

"53 
11.52 

vs 

"47 
IMS 
11.42 

i;;S 

"■37 
"■35 
"33 
".32 
".30 
11.27 


■992944 


.259429 




19 


.253067 


•992 921 


.260 146 






9.253 761 


9.992898 


9.360863 






■254453 


.992 875 


.261 578 




aa 


■m '44 


.992 852 


.262 292 




33 


■255 834 


.992 829 


-263005 




34 


■aS^ 523 


.992806 


.263717 




"5 


9.257211 


9.992 783 


9-264428 




a6 


.257898 


■992 759 


i 

40 

38 


.265 138 




a? 


.25858, 
.259 268 


■992 736 


-365 847 

■26655s 




38 


■992 7'3 




ag 


.259951 


.992690 


.367 361 




30 
3t 


9.260633 
.261 314 


9.992666 
.993643 


9.267967 
.268671 




3* 


.261994 


.992619 


I 


■26937s 




33 


.262673 


.992596 


.270077 




34 


■263351 


■992 572 


■270779 




3S 


9.264027 


11.27 
11.23 
11.23 


9.992 549 


9.271 479 


36 


.264 703 


.992 525 


40 

38 
40 


.272 178 




37 


.265 377 


.992 501 


.373876 




38 


.266051 


.992 478 


.273 573 




39 


.266723 


ii!m 


■992454 


.274 369 




40 


^:^^1 




9.992 430 




9.274 964 




4' 




.992406 




.275 658 




43 


.268734 


11.15 


■992 382 


40 


.276351 




43 


.269402 




■992 359 


■277043 




44 




11 10 


■992 33S 


.277 734 




45 
4« 


9.370 735 
.271400 


11.08 


9-992 3" 
■992 387 


40 


9.278.4W 
-279 113' 






.272064 


11.07 


.992 263 




.379 801 




48 


.272 716 


11.03- 
".03 


■992 239 


40 


.28^488 




49 


.273388 


.992214 


40 


.281 174 




50 


9.274049 


10.98 
10.9S 


9.992 190 


9.2S1 858 




51 


.274 708 


.992166 




.283 542 




5* 


■37S 367 


.991 142 




■283 225 




53 


.27602s 




.992118 




3r.j 


1 


54 


.276681 


10.93 


.992093 


40 




55 


9.277 337 


9.992069 


9.285 268 




SB 


.277991 


10.85 
10.85 


.992044 


42 


■285 947 




57 


.278 645 


.992020 




.3S6 624 




58 


.279 297 


.991996 




.287 301 


J  


59 


■279948 


.991 971 


JO 


-287977 


 


«o 


9.280599 


9.99' 947 




9.2S8 652 




Odi. 


D. 1". 


Sin. D 


1". 


Om. 


r. I". 1 TiD. 1 M. [ 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 
IP 



9.a8o 599 
.aSi 14S 
.ZS1897 
.281544 
•283190 

9283 836 
.284480 

.185 IJ4 
.285 766 
.386408 

9.387048 
.287 688 
.288 326 
.288964 

9.290 236 
.290870 
.291504 
.29a 137 

9-293 399 
.394029 
.294 65S 
.395386 
■295913 

9:196539 
.197164 
.297788 
.298412 
.299034 

9.299 65s 
.300276 
■300895 
■301 5'4 

9.303 748 
■303364 
■303979 
■304593 
.305307 

9.305 819 
.306430 



9.308867 
.309474 
^310685 



lis 

■314 ^97 
9.314897 
■315495 
.316689 
.317*84 
9-3' 7 879 



Cm. 



Ooi. 



9-99' 947 
.991 923 
.991897 
■991 873 
.991848 

9.991 833 
.991 799 
■991 774 
■991 749 
-991 7*4 

9-991699 
.991 674 
.991649 
.991634 
■991599 

9-991 574 
.991 549 
■99' 5>4 
.991 498 
■99' 473 

9.991 448 
.991 422 
■991 397 
■99' 372 
.991346 

9.991 331 
.991 295 
.991370 
.991344 
.991 2l8 

9.991 193 
■99' '67 
.991 141 
.991115 
.991090 

9.991064 
.991038 
.991012 
.990986 
.990960 

9-990934 
.990908 
.990883 
.990855 
.990829 

9.990803 
.990777 
■990750 
.990724 
■990697 

9.990671 
■990645 

■99059' 
. -990565 
9^990538 
.990511 
990485 
.990458 
.990431 
9990404 



.318697 
■319 330 
.319961 
■32059a 

9.321 222 
■3*1 85' 
.322 479 
.323 106 
■3*3 733 

9^324 358 
■3*4 983 
■315607 
.326331 
■3*6853 

9-327475 



1041 



.681 303 
.680670 
.680039 
.679408 

0.678 778 
.678 149 
.677 531 
.676894 
.676 367 

0.675 642 
.675017 
■674 393 
.673769 
■673 '47 

0-67* S*S 






80 IX>GARITHMIC SIXES, COSINES, TAXGENTS, AND COTANGENTS. 

129 



O 

z 
a 

3 

4 

5 
6 

7 
8 

9 

lO 

II 
la 

13 
14 

i6 

17 
z8 

19 

ai 
aa 

«4 
a6 

27 

aS 
ag 

30 
31 
32 
33 
34 

35 
36 
37 
38 
39 
40 
41 
4* 
43 
44 

45 
46 
47 
48 
49 
50 
51 
52 
53 
54 

55 
56 
57 
58 
59 
60 



Sin. 



9.317879 

.318473 
.319066 

.319658 

.320249 

9.320 840 
.321 4SCK 
.322019 
.322 607 

.323 194 

9.323 780 

.324366 

.324 950 

.325 534 
.326117 

9.326 700 
.327 281 
.327 862 
.328 442 
.329 021 

9.329 599 
•330 176 
.330 753 
-33^ 329 
.33 > 903 

9-332 478 
.333051 
.333 624 
.334 195 
•334 767 

9.335 337 
•335 906 
.336 475 
.337 043 
.337 610 

9338 176 
.338 742 
.339 307 
.339871 
.340 434 

9.340 996 

•341 558 
.342119 

.342 679 
.343 239 

9-343 797 

.344355 
.344 9*2 

.345469 
.346024 

9346 579 

.347134 
.347687 

.348240 

.348 792 

9-349 343 

.349 893 

.350 443 
.350 992 

.351 540 
9.352088 

Ooi. 



D. 1". 



9.90 
9.88 
9.87 

9.85 
9.85 

9.83 
9.82 

9.80 

9.78 

9-77 

9.77 

9-73 

9-73 
9.72 

9.72 

9.68 
9.68 
9.67 
9.65 

9'(>3 
9.62 
9.62 
9.60 

9.57 
9.58 

9-55 

9-55 
9.52 

9-53 
9.50 

9-48 
948 
947 
945 
943 

9.43 
942 
940 
9.38 
9-37 

9-37 
9-35 
9-33 
9.33 
9.30 

9.30 
9.28 

9.28 

9.25 

9.25 

9.25 
9.22 

9.22 

9.20 

9.18 

9.17 
9.17 

915 
9.13 
9-13 

D. 1". 



Gob. 



D. 1". 



9.990404 
.990378 
.990351 
.990324 
.990297 

9.990 270 
.990243 
.990215 
.990 188 
.990 161 

9-990 134 
.990 107 
.990079 
.990 052 
.990 025 

9.989 997 
.989 970 
.989942 

.989915 
.989 887 

9.989 860 
.989 832 
.989804 
.989 777 
.989 749 

9.989 721 
.989 693 
.989 665 

.989 637 
.989 610 

9-989 582 

•989 553 

.989 525 

■989 497 
.989469 

9.989 441 
.989413 
.989 385 
.989 356 
.989 328 

9.989 300 
.989 271 

-989243 
.989 214 

.989186 

9.989 157 
.989 128 
.989 too 
.989071 
.989 042 

9.989 014 
.988 985 
.988 956 
.988 927 
.988 898 

9.988 869 
.988 840 
.988811 
.988 782 
.988 753 

9.988 724 



43 
45 
45 
•45 
45 

45 
47 
45 
45 
45 

45 
47 
45 
45 
47 

45 
47 
45 
47 
45 

47 
47 
45 
47 
47 

47 
47 
47 
45 
47 
48 

47 
47 
47 
47 

47 

47 
.48 

47 
47 
48 

47 
48 

48 

48 

47 
.48 

48 
47 
48 
48 
48 
.48 
.48 

.48 
48 
48 
48 
48 

p. v. 
770 



Tan. 



9-327 475 
.328 095 

.328 715 

•329 334 
•329 953 

9.330 570 
'331 187 
.331 803 
.332418 

'333 033 

9-333 646 
.334 259 
.334871 
.335 482 
'33(> 093 

9336 702 
•337 3" 
•337 919 
.338 527 
.339 133 

9.339 739 
.340344 
.340 948 
.341 552 
.342 155 

9342 757 
.343 358 
•343 958 
.344558 
.345 »57 

9.345 755 
.346 353 
.346949 

.347 545 
.348 141 

9.348 735 
-349 329 
.349 922 
.350 5 «4 
.35' «o6 

9-35^ 697 
•352 287 
.352 876 
.353 465 
.354 053 

9.354 640 
.355 227 
•355 813 
.356 398 
.356 982 

9.357 566 
.358 149 

•358 731 
.359313 
.359 893 
9.360 474 
.361 053 
.361 632 
.362 210 
.362 787 

9-363 364 

Oct. 



D. 1". 



10.33 

10.33 
10.32 

10.32 

10.28 

10.28 
10.27 
10.25 
10.25 
10.22 

10.22 
10.20 
10.18 
XO.18 
10.15 

10.15 
10.13 
10.13 
10.10 
10.10 

10.08 
10.07 
10.07 
10.05 
10.03 

10.02 

10.00 

10.00 

9.98 

9.97 

9-97 

9-93 

9-93 

9-93 
9.90 

9-90 
9.88 
9.87 
9.87 

9.85 

9.83 
9.82 

9.82 
9.80 
9-78 
9.78 
9-77 
9-75 
9.73 
9.73 

9.72 
9.70 
9.70 

9-67 
9.68 

9.65 
9.65 

963 
9.62 

9.62 
D. 1". 



Got. 



0.672 525 


60 


.671 905 


59 


.671 285 


58 


.670 666 


57 


.670047 


56 


0.669430 


55 


.668 813 


54 


.668197 


53 


.667 582 


52 


.666967 


51 


0.666 354 


50 


.665 741 


49 


.665 129 


4B 


.664518 


47 


.663907 


46 


0.663 298 


45 


.662689 


44 


.662081 


43 


.661 473 


4a 


.660867 


41 


0.660 261 


40 


.659 656 


39 


.659 052 


3» 


.658448 


37 


.657 845 . 


36 


0.657 243 


35 


.656 642 


34 


.656 042 


33 


.655 442 


3a 


.654 843 


3X 


0.654 245 


30 


•653 647 


29 


.653051 


a8 


•652 455 


27 


.651 859 


26 


0.651 265 


as 


.650671 


a4 


•650 078 


23 


.649486 


aa 


.648894 


az 


0.648 303 


ao 


.647 713 


19 


.647124 


18 


.646 535 


17 


.645947 


16 


0.645 360 


X5 


.644773 


14 


.644 187 


X3 


.643602 


13 


.643018 


IZ 


0.642 434 


zo 


.641 8§i 
.641 269 


9 


8 


.640687 


7 


.640107 


6 


0.639 526 


5 


.638 947 
.638 368 


4 


3 


•637 790 


a 


.637 213 


t 


0.636 636 






Tan. 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 81 
13P 



Bin. 



9.352088 
■352 635 
.353 '81 
-353 7^6 
-354 271 

9-354815 
■355 358 
■355 90' 



9-357 5*4 
.358064 
.358603 
■359 '41 
■359678 

9-360215 
.360 7SJ 
.361 287 
.361 Szz 
.362 356 

9.362 889 
■363 422 
■363 954 
-364 485 
.365 016 

9-365 546 
.366075 
.366604 
■367 131 
■367 659 

9.368 185 
.368711 
.369 236 
.369 761 
■370285 

9.370808 
■371 330 
■37 » 8Si 
-372373 
■372894 

9-373 414 
.373 933 
-374 45= 
-374970 
■375487 

9-376003 
•3765 '9 
-377035 
-377 549 
.378063 

9-378 S77 
.379089 
-379 6oi 
.3801.3 
.380624 

9-38" >34 
-381 643 



.383 168 
9-383 675 



8-77 
8.77 
8.75 
8-75 



8.67 
8.65 
8.65 
8.63 



8.57 
8.57 

8.53 

8.53 
8-53 
8.52 
8.50 
8.48 



607 
- 578 
.9S8 548 
.9885.9 
.988489 
.9S8460 
.988430 
.988 401 
■988 371 
.988 341 
.98831s 
.988 2S2 
.9S8 252 
"8223 
8193 



.98S013 

.987 9S3 
■987 953 
.987 922 
.987 892 
.987862 



7740 
7710 

■987 679 
.987649 
,987618 
.987588 
-987 557 
.987 526 
.987 496 
.987 465 
■987 434 
.987 403 
■9S7 372 
■987 34" 
.987 3'o 
.987 279 
,987 248 
.987 217 
.9S7 1S6 
■987 '55 
.987124 
.987092 
.987 061 
.987 030 
-6998 
6967 



Tuk. 



9.363 364 
■363940 
-364 5'5 
.365090 
.365664 

9.366 237 
.366810 
.367 382 
■367 953 
.368524 

9.369094 
.369663 
.370 232 
■370799 
■37» 367 

9' 371 933 
■372 499 
.373064 
.373 629 
■374 "93 

9-374 756 
■375 3' 9 
.375881 
-376442 
■377 003 

9-377 563 
.378122 
.378 681 
■379 239 
.379 797 

9-380354 
.380910 
.381 466 
.382020 
.382575 

9.383 129 

.383 682 
■384234 

.384786 

■385 337 

9-385888 
.386438 
.386 987 
■387 536 
.388 0S4 

9.388 631 
.389 178 
■389724 
.390270 
.390815 

9.391 36b 
■39' 903 
■392 447 
.392 9S9 
■393 53' 

9-394 073 
■394614 
■395 '54 
■395694 
■396 233 

9.396 771 



Oot. 



903 
9-03 
9-03 



.613562 
.613013 

0.611369 

.610 276 
.609730 
.609185 
0.608640 

■607 553 
.607011 

0.605 927 



.603767 



82 LOGARITHMIC SINES, 



COSINES, TANGENTS, AND COTANGENTS. 
14° 



9-383 67s 

.3S4 l&Z 

.384 687 
.385 192 
,385697 
9.386 ». 
.386704 
.387 207 
-3S7709 



-389 71 ( 

■39° 2W 
.390708 

9.391 Z06 
.391 703 
.392 199 
•392695 
■393 19« 

9.393685 
■394 '79 
■394673 
■395 '66 
■395 658 

9.396150 
.396641 
■397 '3* 
■397 621 
.398111 

9,398 600 
.39908* 
■399 575 

■400549 
9401 035 

40Z489 
.402 972 

9-403455 
403938 
404420 
.404901 
405382 

9405 S6z 
406341 
406820 
407299 
■407 777 

9408 254 
408731 
409207 
409682 
4>o 157 

9410 632 

•4>r579 

412524 

9^412996 

0«. 



8.37 
8-35 
8-35 



8.27 
8.23 
8.23 
8.23 



8.17 
8.15 
8.13 



8.07 
8.05 
8.05 
8.05 
8.03 



9.986904 

.986 873 

.986841 

"*8o9 

«778 

, . * 746 
.986714 
.986683 
,986651 
.986 619 

9.986 587 
■986555 
.986 523 
.986 491 
.986459 

9.986427 
■986395 
-16 363 



.986169 
.986 137 

9.9S6 104 
,986 072 
.9S6 039 
.986 007 
■985 974 

9.985 942 
.985909 
.985 876 
■985843 
.985811 

9.985 778 
■985 745 
.985 712 
.985 679 
.985646 

9.985 613 
-985 580 
■985 547 
.985 514 
.985480 

9.985447 
.985 414 
■985381 
.985 347 
■98s 3»4 

9,985 z8o 
■985 247 
■985 213 
.985180 
.985 146 

9.985113 
.985079 
■985045 
■985 o" 
.984978 

9,984944 



9,396 771 
•397309 
■397 846 
■398 383 
,398919 

9399455 
.399990 
400524 
401058 
.401 591 



403187 
.403 718 
404249 

9404778 
405308 
405836 
406364 
406892 

9407419 
407945 
40847' 
.408996 
409521 

9410045 
410569 
411 092 



1 137 



9412658 
■4'3<79 
413699 
414219 
414 738 

94>5 257 
■4»S 775 
416293 
416810 
.417326 

9417842 
418358 
418873 
419387 
419901 

9420415 
420927 
421 440 
421 952 
422463 

9422974 
423484 
423993 
■4*4 503 
425011 

9425519 

426534 
427041 
-427 547 
9.428 052 
Cat. 



8.67 

8.67 
8,65 



8.55 
8.53 
8.52 
8.52 
8,50 



847 

847 

8,45 

 845 



0«t. 
0.603 329 
.602691 
.602 154 
.601 617 

0.600 545 
.600010 
.599476 
.598 942 
.598409 

0.597 876 
■597 3+4 
.596813 
.596 282 
■595 751 

0.595 222 
.594692 
.594164 

-593 636 
■593 'oS 

0.592581 
■592 OSS 
■591 529 
.591004 
•590479 

0.589 955 
■58943' 
■588908 
■588385 
■587863 

0.587 342 
.586821 
.586 301 
■585 78' 
.585 262 

0-584 743 
■584225 
■583 707 
■583 190 
-582674 

a582 158 
.581 642 
.581 127 
•580613 
.580099 

0.579 585 
■579073 
.578560 
•578048 
-577 537 

0.577026 
.576516 
.576007 
■575 497 
.574989 

0,574481 
■573 973 
■573466 
.572 959 
■572453 

0-57' 948 
Tu. 



LOGARITHMIC SINES, COSINES, TANGENTS, 

160 



AND COTANGENTS. 38 



o 

z 

2 

3 

4 

5 

6 

7 
8 

9 
lo 
zz 

Z3 

13 
14 

z6 

17 
i8 

<9 

20 
flZ 
22 

a3 
a4 

as 

26 
27 
28 

29 
30 

31 
32 

33 
34 

35 
36 

37 
38 
39 
40 

41 
4a 
43 
44 

45 
46 
47 
48 

49 
50 
51 
5a 
53 
54 

55 
56 
57 
58 
59 
60 



Sin. 



9.412996 
413467 

•413938 
414 408 

414 878 

9-415347 
•4'5 8i5 
.416 283 
.416751 
.417217 

9417684 
41$ 150 
.418615 
419079 

•419 544 

9420 007 

.420 470 

•420 933 

•421 395 
.421 857 

9.422 318 
422 778 
.423 238 

423697 

424 156 

9.424 615 

425 073 

.425 530 
425 987 

.426 443 

9426 899 

•427 354 
427809 

428 263 
.428717 

9429 170 

429 623 
.430075 

.430 52 

430 97 
9.431 429 

431 879 

432 329 
432 778 
.433 226 

9433 675 
434122 

434569 

435 016 
• 435 462 

9435908 

436 353 
.436 798 

437 242 
.437686 

9438 129 

438 572 
439014 

439 456 
439897 

9440 338 

Got. 



D. 1". 



7.85 
7.85 

7.83 

7.83 
7.82 

7.80 
7.80 
7.80 

7-77 
7.7S 

7-77 

7-75 

7-73 

7.75 
7.72 

7.72 
7.72 
7.70 
7.70 
7.68 

7.67 
7.67 

765 
7.65 

7.65 

763 
7.62 

7.62 

7.60 

7.60 

7.58 

7.58 
7-57 
7-57 
7-55 • 

7-55 
7-53 
7-53 
7-52 
7-52 
7.50 
7.50 
748 

747 
748 

745 
745 
745 
743 
743 
742 
742 
7.40 
7.40 
738 

7-38 
7-37 
7-37 
7.35 
7-35 

D. 1". 



OOB. 



9.984944 

.984910 

.984 876 

.984842 

.984808 

9.984 774 
.984 740 
.984706 
.984 672 
.984 638 

9.984 603 
.984569 

.984 535 
.984500 

.984 466 

9.984 432 

.984 397 
•984 363 
.984 328 
.984 294 

9.984 259 
.984224 
.984 190 

.984 155 
.984 120 

9.984085 
.984 050 
.984015 
.983 981 
.983 946 

9.983911 

.983 875 
.983 840 

.983 805 
.983 770 

9983 735 

.983 700 
.983 664 

.983 629 
.983 594 

9-983 558 

.•983 523 
.983 487 

-983 452 
.983416 

9.983 381 

.983 345 

.983 309 

-983 273 
.983 238 

9.983 202 
.983 166 

.983 »30 
.983094 

.983 058 

9.983 022 

.982 986 

.982 950 

.982 914 

.982 878 

9.982 842 



D. 1". 



57 
57 
57 
57 
57 

57 

57 

57 

5 

5 

57 
5 

5 

57 

57 

58 

5 

5 

5 

5 

58 

58 

55 
58 

5f 
58 

60 

60 

58 

60 

58 

60 

58 

60 
60 
60 

58 

60 

60 
60 
60 
60 
60 

60 
60 
60 
60 
60 



740 



Tan. 



9428052 
-428 558 
429062 
429 566 
430070 

9430 573 

431 075 

431 577 
.432 079 

.432 580 
9433080 

433580 
434080 

434 579 

435 078 

9-435 576 
.436 073 

436 570 
437067 

.437 563 
9.438 059 

438 554 

439 048 

439 543 
440036 

9440 529 
.441 022 
441 514 
.442006 

442497 
9.442 988 

443 479 
443968 

444458 
444947 

.9445 435 

445923 
446 411 

446898 

.447384 

9447 870 
448356 
448841 
449326 
449810 

9.450 294 
.450 777 
.451 260 

451 743 
.452 225 

9.452 706 

453 187 
453668 
.454 148 
.454 628 

9455 107 
■455 586 
456064 

.456 542 
457 019 
9457 496 
Got. 



D. 1". 



843 
840 

8.40 

840 

8.38 

8.37 
8.37 
8.37 
8.35 
8.33 

8.33 
8.33 
8.32 
8.32 
8.30 

8.28 
8.28 
8.28 
8.27 
8.27 

8.25 
8.23 
8.25 
8.22 
8.22 

8.22 
8.20 
8.20 
8.18 
8.18 

8.18 
8.15 
8.17 
8.15 
8.13 

8.13 
8.13 
8.12 

8.10 
8.10 

8.10 
8.08 
8.08 
8.07 
8.07 

8.05 

.8.05 

8.05 
8.03 

8.02 

8.02 
8.02 
8.00 
8.00 

7.98 

7-98 
7.97 

7-97 
7-95 
7.95 

D. 1". 



Got. 



o. 



71 948 

171442 

70938 

.70434 
J69930 

0.569 427 
,68 925 

168423 
16792 

;67 - 

0.566 
i66 

;65 
;64 

;64 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



^420 
920 

»420 

920 

421 

.922 



;63' 
;63 
62 
162 

61 

;6i 
60 



424 
927 

430 

933 
437 
941 
446 
952 
160457 
59964 

59471 
58978 
58486 

57 994 
57503 
57012 
56521 
56032 
55542 
55053 

54565 
540 

53 5 
53>o2 

52616 
52 130 
51644 

s} 159 

50674 
50190 

49706 
49223 

48740 
48257 

47 775 

47294 
46813 

46332 
45852 

45372 

44893 
44414 

43936 

43458 
42981 

0.542 504 
Tan. 



60 

59 
58 

57 
56 

55 
54 
53 
52 
51 

50 

49 
48 

47 
46 

45 
44 
43 
42 
4X 

40 
39 
38 

37 
36 

35 

34 

33 
32 

31 
30 
29 
28 
27 
26 

25 
24 
23 
22 

2Z 

20 

19 
z8 

17 
z6 

15 

14 
13 

Z2 
ZZ 

ZO 

9 
8 

7 
6 

5 

4 

3 

2 

z 



V 



84 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 



M. 



o 

X 

a 

3 

4 

5 

6 

7 
8 

9 
zo 

IZ 

za 

13 
14 

15 
z6 

17 
z8 

Z9 
ao 
az 
aa 

23 
a4 

as 
a6 

a7 

aS 

ag 

30 

31 
32 

33 
34 

35 
36 
37 
38 

39 
40 
41 
42 
43 
44 

45 
46 

47 
48 

49 

50 

51 
52 
53 
54 

55 
56 
57 
58 
59 
60 



Sin. 



9.440 338 
440778 
441 218 
441 658 
.442 096 

9442 535 

442973 
443410 

•443847 
.444284 

9.444720 

.445 "55 
.445590 
.446 025 

.446 459 

9.446 893 
447326 

.447 759 
.448 191 

.448 623 
9.449 054 
.449 485 
.449 9«5 
•450 345 

450 775 
9451 204 

451 632 
452060 

452 488 

.452915 
9453 342 

453 768 
454194 

454 619 
.455. 044 

9455 469 

455 893 
.456316 

456 739 
.457 162 

9457 584 
.458006 

.458 427 
458 848 
.459 268 

9459 688 
.460 108 
.460 527 
.460 946 

461 364 

9.461 782 
.462 199 

462 616 

463 032 
463 448 

9.463 864 
.464 279 
.464 694 
.465 108 
.465 522 

9.465 935 

OOB. 



D. 1". 



33 
33 
33 
30 
32 

•30 
.28 

.28 

.28 

•27 

.25 
.25 
.25 
.23 
.23 
.22 
.22 
.20 
.20 
.18 

.18 

.17 
.>7 
.17 
.'5 

.13 

.13 

.13 
.12 

.12 

.10 
.10 
.08 
.08 
.08 

.07 
.05 

.05 
.05 

•03 

•03 
.02 

.02 

.00 

.00 

7.00 

6.98. 

6.98 

6.97 

6.97 

6.95 
6.95 

6.93 
6.93 
6.93 
6.92 
6.92 
6.90 
6.90 
6.88 

D. 1". 



OoB. 



9.982 842 
.982 805 
.982 769 

•982 733 
.982 696 

9.982660 
.982 624 
.982 587 
.982 551 
.982514 

9.982 477 
.982 441 
.982 404 
.982 367 
•982 331 

9.982 294 
.982 257 
.982 220 
.982 183 
.982 146 

9.982 109 
.982 072 
.982035 
.981 998 
.981 961 

9.981 924 
.981 886 
.981 849 
.981 812 
.981 774 

9-981 737 
.981 700 
.981 662 
.981 625 
•981 587 

9.981 549 
.981 512 
.981 474 

.981 436 
.981 399 

9.981 361 
.981 323 
.981 285. 
.98r'247 
.981 209 

9.981 171 

.981 133 
.981 095 
.981 057 
.981 019 

9.980 981 
.980 942 
.980904 
.980866 
.980 827 

9.980 789 
.980 750 
.980712 
.980 673 
.980 635 

9.980 596 
Sin. 



D. 1 



n 



.62. 

.60 

.60 

.62 

.60 

.60 
.62 
.60 
.62 
.62 

.60 
.62 
.62 
.60 
.62 

.62 
.62 
.62 
.62 
.62 

.62 
.62 
.62 
.62 
.62 

.63 
.62 

.62 

.63 
.62 

.62 

.63 
.62 

.63 
.63 
.62 

.63 

.63 
.62 

•63 

.63 
.63 
.63 

.63 
.63 

.63 
.63 
.63 
.63 
•63 
.65 

.63 

.63 

.65 

.63 
.65 

.63 
.65 

.63 
.65 



// 



D.I 



730 



Tan. 



9457 496 
.457 973 
458449 
.458 925 

459 400 

9459 875 
460349 

460 823 

461 297 
461 770 

9.462 242 
.462 715 
463 186 

463 658 

464 128 

9464 599 
465069 

465 539 
466008 

466477 

9.466 945 
.467413 
.467 880 
468347 
468814 

9.469280 
469746 
470 21 1 
470 676 
.471 141 

9.471 605 
.472069 

472 532 
472995 

473 457 

9.473919 

474 381 
.474 842 

475 303 
•475 763 

9476 223 

476 683 

-477142^ 

477 601 

478 059 

9478517 

•478 975 
.479 432 
.479 889 
480345 

9480801 
.481 257 
.481 712 
482 167 
.482 621 

9.483 075 

.483 529 
483 982 

•484 435 
.484 887 

9485 339 

Got. 



D. 1". 



Got. 



7.95 

793 

7-93 
7.92 

7.92 

7.90 
7.90 
7.90 
7.88 
7.87 

7.88 

7.85 
7.87 
783 
7.85 

7.83 

783 
7.82 

7.82 

7.80 

7.80 

7.78 
7.78 
7.78 

7-77 

7.77 
7.75 
7-75 
7.75 
7.73 

773 
7.72 

7.72 

7.70 

7.70 

7.70 
7.68 
7.68 
7.67 
7.67 

7.67 
7.65 

7^ 
7.63 
7.63 

7.63 
7.62 

7.62 

7.60 

7.60 

7.60 
7.58 
7.58 
7.57 
7.57 

7-57 
7-55 
7.55 
7.53 
7-53 

D. 1". 



o. 



o. 



o. 



o. 



o. 



o. 



o.i;42 504 
42027 

41 551 
41075 

40600 
40125 
39651 
39177 

38703 
38230 

37758 
37285 
36814 
36342 
35872 

35401 

34 93" 
34461 
33992 
33523 
33055 

32587 
32 120 

31653 
31 186 
30720 
30254 
29789 

29324 
28859 

28395 

27931 
27468 

27005 

26543 
26081 
25619 
25158 
24697 

24237 

23777 

23 3>7 
.5^2^858 

22399 
21941 
21 483 
21 025 
20568 
20 III 
19 655* 

19 199 

18743 
18288 

17833 
"7 379 
16925 
16471 
16018 

'5565 
>5"3 
0.514661 

Tan. 



o. 



o. 



o. 



o. 



o. 



60 

59 
58 
57 
56 

55 
54 
53 
52 

51 
50 
49 
48 
47 
46 

45 



43 
42 
41 
40 

39 

38 

37 
36 

35 
34 
33 
32 

31 

30 

29 
aS 

27 
a6 

25 

24 
23 
aa 

az 
ao 

19 
z8 

17 
z6 

15 

14 

13 
za 

zz 
zo 

9 
8 

7 
6 

5 

4 

3 

a 

z 



LOGARITHMIC SI 



i 



ISINES, TANGENTS, AND COTANGENTS. 
17° 



S3 
S4 
55 

56 
57 
58 
59 


487251 
.487643 

9488034 
488424 
488 SH 
489204 
4S9 593 

9.489 982 


6-53 
6.52 
6.50 

648 
648 


■978 493 
.978 45* 

9.978 41 1 
.978 370 
.978 329 
.978288 
.978 247 

9.978 106 




6^ 

68 
68 
68 
68 
68 
68 


.508 759 
.509 191 

9.509 622 
.510054 
■510485 
.5:09:6 
.511346 

9.511776 


7.17 


.491 Z41 

490809 
0.490 378 
489946 
■489 S'S 
489084 
488654 
0488 224 


I 

5 

4 
3 




Ooi. 


D. 1". 


Sin. 


D. 1". 


Cm. 


D, 1". 


Tu. 


M. 



3ft LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

ISP 



o 
I 

2 

3 

4 

5 
6 

7 
8 

9 
zo 

XI 

xa 

13 
14 

IS 

x6 

»7 
x8 

19 

20 

ax 
aa 

a3 
a4 

a6 

aS 
ag 

30 

31 
3a 
33 
34 

35 
36 
37 
38 

39 
40 

41 
4a 
43 
44 

45 
46 
47 
4« 
49 

50 
51 
5a 
53 
54 

55 
56 

57 
58 
59 
60 



Sin. 



9.489 982 

490 37 » 
•490 759 

491 147 

•491 535 
9.491 922 
.492 308 
.492 695 
.493 081 
.493 466 

9.493 85 » 
.494 236 

.494 621 

.495 005 
.495 388 

9-495 772 
.496 154 

496537 
.496919 

497 30" 
9.497 682 
498064 
498444 
.498 825 
499204 

9499 584 

499 963 
.500 342 

.500 721 

.501 099 

9.501 476 
.501 854 
.502 231 
.502 607 
.502 984 

9503 360 

.503 735 
.504 1 10 

.504 485 

.504860 

9.505 234 
.505608 

.505 981 

•506 354 
.506 727 

9.507 099 

•507 47 « 

•507 843 
.505 214 

.508 585 

9.508 956 
.509 326 
.509 696 
.510065 
.510434 

9.510803 
.511 172 

•5" 540 
.511907 

.512275 
9.512642 

Ooi. 



D. 1". 



648 
6.47 
6.47 
647 

645 

643 
645 

643 
6.42 

6.42 

642 
6.42 
640 
6.38 
6.40 

6.37 
6.38 

6.37 
6.37 • 
6.35 

6.37 

6.33 

6.35 
6.32 

6.33 
6.32 
6.32 
6.32 
6.30 
6.28 

6.30 
6.28 
6.27 
6.28 
6.27 

6.25 
6.25 
6.25 
6.25 
6.23 

6.23 
6.22 
6.22 
6.22 
6.20 

6.ao 
6.20 
6.18 
6.18 
6.18 

6.17 
6.17 
6.15 
6.15 
6.15 

6.15 
6.13 
6.12 
6.13 
6.12 

D. 1". 



Ooi. 



9.978 206 


.978 165 


.978 124 


.978 083 


.978 042 


9.978 OOI 


.977 959 


.977 918 


•977 877 


.977 835 


9.977 794 


•977 752 


.977711 


.977669 


.977 628 


9.977 586 


.977 544 


.977 503 


.977 461 


•977 419 


9.977 377 


•977 335 


•977 293 


•977 251 


.977209 


9.977 167 


•977 »25 


.977 083 


.977 041 


.976999 


9.976 957 


.976914 


.976 872 


.976 830 


.976 787 


9976 745 


.976 702 


.976660 


.976617 


.976 574 


9976 532 


.976 489 


. .976 446 


.976404 


.976 361 


9.976318 


.976 275 


.976 232 


.976 189 


.976 146 


9.976 103 


.976060 


.976017 


.975 974 


•975 930 


9.975 887 


.975844 


.975800 


.975 757 


.975 7H 


9.975 670 



D. 1". 



Sin. 



.68 
.68 
.68 
.68 
.68 

.70 
.68 
.68 
.70 
.68 

.70 
.68 
.70 
.68 
.70 

.70 
.68 
.70 
.70 
.70 

.70 
.70 
.70 
.70 
.70 

.70 
.70 
.70 
•70 
.70 

•72. 
.70 

.70 

.72 
.70 

•72 
.70 

•72 
.72 

.70 

•72 

•72 
.70 

.72 

•72 

.72 
.72 
.72 
•72 
.72 

•72 
.72 
•72 
.73 
•72 

•72 
.73 
.72 
.72 
•73 

D. I". 



Tan. 



II 776 
12206 
12635 
13064 

»3 493 
13 921 

H349 

>4 777 
15204 

1563" 
16057 
16484 

16 910 

17335 

17 761 

18186 
18610 

19034 
19458 
19882 

20305 
20728 
21 151 

21573 
21995 

22417 
22838 

23259 
23680 

24100 

24520 
24940 

25359 
25778 
26 197 

26615 

27033 

27451 
27868 

28285 

28702 
29 119 

29535 
29951 

30366 

30781 
31 196 
31 611 
32025 

32439 
32853 
33266 

33679 
34092 

34504 
34916 
35328 

35 739 
36150 
36561 

536 972 
Got. 



D. 1". 



•17 
•15 
■15 
•15 
.13 

.13 

•13 
.12 

.12 

.10 

.12 
.10 
.08 
.10 

.08 

.07 

•07 
.07 

.07 

•05 
.05 
.05 

.03 
•03 
•03 
.02 
.02 
.02 
.00 
.00 

7.00 
6.98 
6.98 
6.98 
6.97 

6.97 
6.97 
6.95 
6.95 
6.95 

6.95 

6.93 

6.93 
6.92 

6.92 

6.92 
6.92 
6.90 
6.90 
6.90 

6.88 
6.88 
6.88 
6.87 
6.87 

6.87 
6.85 
6.85 
6.85 
6.85 

D. 1". 



Got. 



0488 224 


60 


.487794 


59 


.487 365 


58 


.486936 


57 


486507 


56 


0486 079 


55 


.485651 


54 


485223 


53 


.484796 


52 


484369 


5X 


0.483 943 


50 


.483 516 


49 


.483090 


48 


482 665 


47 


482 239 


46 


0.481 814 


45 


481390 


44 


.480966 


43 


.480542 


42 


480 118 


41 


0479 695 


40 


•479 272 


39 


.478 849 


38 


478 427 


37 


478005 


36 


0.477 583 


35 


477 162 


34 


476 741 


33 


.476 320 


32 


475900 


31 


0475 480 


30 


475060 


29 


474641 


aS 


474 222 


27 


473803 


a6 


0473 385 


25 


472 967 


24 


472 549 


23 


472 132 


aa 


471 715 


ai 


0471 298 


ao 


470881 


Z9 


470 465 


z8 


.470 049 


17 


.469634 


z6 


0.469 219 


15 


.468804 


14 


468389 


13 


467 975 


za 


467 561 


zz 


0467 147 


zo 


466734 


9 


.466 321 


8 


465908 


7 


465496 


6 


0465 084 


5 


.464 672 


4 


464 261 


3 


.463 850 


a 


463 439 


z 


0.463 028 






Tan. 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 87 



Sin. 






9.512642 


I 


.5'3<»9 


a 


•5 '3 375 


3 


.5"3 74i 


4 


.514107 


5 


9.514472 


6 


•514837 


7 


.515 202 


8 


.515 566 


9 


•515930 


xo 


9.516294 


ZI 


.516657 


12 


.517020 


13 


•517382 


14 


•5«7 745 


J5 


9.518 107 


16 


.518468 


17 


.518829 


18 


.519 190 


19 


• •5»9 55« 


ao 


9.519911 


ax 


.520 271 


aa 


.520631 


23 


.520990 


24 


•521 349 


as 


9.521 707 


a6 


.522066 


a7 


.522 424 


a8 


.522 781 


a9 


•523 138 


30 


9523 495 


31 


.523 852 


3a 


.524208 


33 


.524564 


34 


.524920 


35 


9.525 275 


36 


•525 630 


37 


.525 984 


3« 


•526 339 


39 


.526 693 


40 


9.527 046 


At 


.527400 


4* 


.527 753 


43 


.528 105 
.528458 


44 


45 


9.528 810 


46 


.529 161 


47 


.529533 


4« 


.529864 


49 


.530215 


50 


9530 565 


51 


.530915 


5a 


•53 « 265 


53 


53" 614 


54 


•53« 963 


55 


9532 3«2 


56 


.532 661 


57 


.533009 


5« 


-533 357 


59 


.533 704 


60 


9.534052 



D. 1". 



Goi. 



6.12 
6.10 
6.10 
6.10 
6.08 

6.08 
6.08 
6.07 
6.07 
6.07 

6.05 
6.05 
6.03 
6.05 
6.03 

6.02 
6.02 

6.02 
6.03 

6.00 

6.00 
6.00 

5.98 
5.98 

597 
5.98 

5-97 
5-95 
5-95 
5.95 

5-95 
5-93 
5-93 
593 
592 

5.92 

5.90 
5.92 

5.90 
5-88 

590 
5.88 

5-87 
5.88 

5.87 

5.85 
5.87 

5-85 
5.85 

5.83 

583 

583 
5.82 

5.82 

5.82 

5.82 
5.80 

5-78 
5.80 

! Id. 1". 



Cos. 



9.975 670 
•975 627 
•975 583 

.975 539 
.975 496 

9-975 452 
.975 408 
•975 365 
•975 321 
•975 277 

9-975 233 
.975 '89 

.975 H5 
.975 101 

•975 057 

9.975013 
.974969 

.974 925 
.974880 

.974 836 

9-974 792 
.974 748 
.974 703 
•974 659 
.974 614 

9-974 570 

.974 525 
.974481 

.974 436 
•974 39" 

9-974 347 
.974 302 
.974 257 
.974112 

.974 i(>7 
9-974 122 
-974077 
-974 032 
.973 987 
.973942 

9-973 897 
.973 852 
.973 807 
•973 761 
.973 7'6 

9973 671 
•973 625 
.973 580 
•973 535 
.973489 

9-973 444 

.973 398 

-973 352 

-973 307 
.973 261 

9.973215 
-973 169 
.973 124 
.973 078 
•973 032 

9.972 986 

8in. 



D. 1". 



•72 
•73 
•73 
•72 

•73 

-73 
.72 

•73 
-73 
•73 

•73 
.73 
.73 
•73 
.73 

.73 
-73 
•75 
-73 
.73 

.73 
•75 
•73 
-75 
•73 

•75 
-73 
•75 
•75 
-73 

•75 
•75 
•75 
.75 
.75 

.75 
.75 
•75 
.75 
•75 

•75 
•75 
•77 
•75 
•75 

•77 
•75 
•75 
.77 

.75 

•77 
•77 
•75 
•77 
•77 

.77 
.75 
•77 
•77 
.77 

! D. v. 

~7(P 



Tftn. 



9.536972 

537 382 

•537 792 
.538 202 

.538611 
9.539 020 

.539 429 
.539 837 
•540 245 
.540 653 
9.541 061 
.541 468 
•541 875 
.542 281 
.542688 

9-543094 
•543 499 
-543 905 
.544 3"0 
-544 7'5 

9-545 » «9 
•545 524 
.545 928 
-546 331 
•546 735 

9-547 138 

.547 540 

.547 943 

-548345 
.548 747 

9.549 149 
•549 550 
.54995* 
•550 352 
.550 752 

9-55» «53 
•55 « 552 
•55" 952 
•552 35« 
•552 750 

9553 "49 
.553548 
•553 946 
•554 344 
.554 741 

9-555 "39 
•555 536 
.555 933 
•55^ 329 
-556 725 

9.557 "2" 
.557 5"7 
.557 9"3 
•558308 

•558 703 

9-559 097 
•55949" 
.559 885 
.560 279 
.560 6/3 

9.561 066 
Got. 



D. 1". 



6.83 
6.83 
6.83 
6.82 
6.82 

6.82 
6.80 
6.80 
6.80 
6.80 

6.78 
6.78 
6.77 
6.78 
6.77 

6.75 
6.77 
6.75 
6.75 

6.73 
6.75 

6.73 
6.72 

6.73 
6.72 

6.70 
6.72 
6.70 
6.70 
6.70 

6.68 
6.68 
6.68 
6.67 
6.68 

6.65 
6.67 
6.65 
6.65 
6.65 

6.65 
6.63 
6.63 
6.62 
6.63 

6.62 
6.62 
6.60 
6.60 
6.60 

(S.60 
6.60 
6.58 
6.58 
6.57 

6-57 
6.57 
6.57 
6.57 
6.55 

D. 1". 



Got. 



0.463 028 
.462618 
462208 
461 798 
461 389 

0.460980 
.460571 
.460 163 

•459 755 
-459 347 

0458 939 
-458 532 
458125 

•457 7"9 
•457 312 

0456906 
.456 501 
456095 

-455690 
455 285 

0454881 
454 476 
454072 
-453669 
•453 265 

0.452 862 
452460 
.452 057 
.45" 655 
•45' 253 

0450851 

.450 450 
450049 

-449648 
449248 

0448847 
448448 
448048 

^47649 
•447 250 
0446851 
446452 
446054 
445656 

-445259 
0.444861 
444464 
444067 
443671 

-♦43275 
0442879 
442483 
442087 
441 692 
441297 

0440903 
440509 
440 115 
439 721 

.439 327 
0438934 

Tu. 



60 
59 
5« 
57 
56 

55 

54 
53 
52 
51 

50 
49 
48 

47 
46 

45 
44 
43 
42 
41 
40 
39 
38 
37 
36 

35 

34 

33 

32 

31 

30 

29 
a8 

27 
a6 

25 

24 

23 
aa 

ax 
ao 

19 
18 

«7 
x6 

15 

"4 

>3 
za 

XX 
ID 

9 
8 

7 
6 

5 

4 

3 

a 

X 



38 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

20° 



O 

z 

a 

3 

4 

5 

6 

7 
8 

9 

lo 

II 

12 

13 
M 

z6 

17 
i8 

19 
ao 
ai 
aa 
23 

24 

25 

a6 

27 
aS 

29 
30 

31 
32 

33 
34 

35 
36 

37 
38 

39 

40 

41 
42 
43 
44 

45 
46 

47 
48 

49 

50 

51 
52 
53 
54 

55 
56 

57 
58 

59 

60 



Sb. 



9534052 

•534 399 
•534 745 
•535 092 
•535 438 

9-535 783 
.536129 

•536 474 
.536818 

•537 '63 

9-537 507 
•537 »5 1 
-538 194 
.538 538 
.538 880 

9-539 223 
•539 565 

•539 907 
.540 249 

.540 590 

9.540931 
•541 272 
•541 613 

•541 953 
•542 293 

9.542 632 

,542971 

.543 310 

•543 649 

.543 987 

9-544 325 
•544 663 
.545000 

•545 338 
.545 674 

9.546 01 1 

•546 347 
•546*683 

•547 019 
•547 354 

9.547 689 
.548 024 

•548 359 

-548 693 

•549 027 

9.549 360 

•549 693 
.550026 

■550 359 
.550 692 

9.551024 

•551356 
.551 687 
.552018 
•552 349 
9.552 680 
.553010 

-553341 
•553 670 
.554000 

9-554 329 

O08. 



D. 1". 



5.78 

5-77 
5.78 

5-77 
5-75 

5^77 
5-75 
5-73 
575 
5.73 

5-73 
5-72 
5-73 
5.70 
5.72 
5.70 
5.70 

5-70 
5.68 
5.68 

5.68 
5.68 

5-67 
5.67 

5-65 

5.65 
5.65 

5.65 

5.63 
5^63 

5-63 
5.62 

5-63 
5.60 

5-62 

5.60 
5.60 
5.60 
5.58 
5.58 

5.58 
5-58 
5-57 
5.57 
5-55. 

5.55 
5-55 
5-55 
5.55 
5-53 

5-53 
5-52 
52 
52 
52 

50 

5.52 

. 5.48 

5.50 

5.48 
D. 1". 



Gob. 



9.9 
•9 
.9 
.9 
•9 

9-9 
.9 
•9 
.9 
•9 

9-9 
-9 
•9 
.9 
•9 

9.9 
.9 
.9 

• .9 
•9 

9.9 
•9 
•9 
•9 
•9 

9.9 

-9 
.9 
•9 
-9 
9.9 

•9 
.9 
■9 
•9 

9-9 
•9 
.9 
•9 
■9 

9.9 

•9 
•9 
•9 
.9 

9.9 
.9 
.9 
•9 
•9 

9.9 

•9 
•9 
.9 
-9 

9.9 
-9 
•9 
•9 
•9 

9.9 



2986 
2940 
2894 
2848 
2802 

2755 
2709 

2663 

2617 

2570 

2524 
2478 

2431 
2385 

2338 
2 291 
2 24c 
2 198 
2 151 
2105 

2058 
2 01 1 

964 
917 

870 

823 
776 
729 
682 

635 
588 
540 

493 
446 
398 

351 
303 
256 

208 
161 

"3 

066 

018 
0970 
0922 

0874 
0827 
0779 

o73« 
0683 

0635 
0586 

0538 
0490 

0442 

0394 

0345 
0297 

o 249 

0200 

0152 



•77 

•77 

•77 

•77 
.78 

•77 
•77 



Sin. 



•77 

•77 

•78 

•77 
.78 

.78 

•77 
-78 
-78 

•77 
.78 

.78 

.78 
.78 

•78 
.78 

•78 
.78 

•78 
•78 
.78 
.80 
.•78 
.78 
.80 
.78 

.80 

•78 
.80 

.78 
.80 

.78 
.80 
.80 
.80 
.80 

.78 
.80 
.80 
.80 
.80 

.82 
.80 
.80 
.80 
.80 

.82 
.80 
.80 
.82 
.80 

D. V\ 



Tan. 



9.561 066 

-561 459 
.561 851 
.562 244 
.562 636 

9.563 028 

-563419 
.563811 

.564 202 

•564 593 

9564 983 

.565 373 

.565 763 
.566 153 

.566 542 

9.566 932 
.567 320 
.567 709 
.568 098 
.568 486 

9.568 873 
.569 261 
.569 648 
•570035 
.570422 

9.570 809 

•57' '95 
.571 581 

,571 967 

•572352 

9^572 738 
•573 '23 

•573 507 
.573 892 

.574 276 

9.574 660 

•575044 

•575 427 
.575810 

.576 193 
9.576576 

•576959 

•577 341 

•577 723 
.578 104 

9.578 486 
.578 867 

•579 248 
■579 629 
.580009 

9.580 389 
.580769 
.581 149 
.581 528 
.581 907 

9.582 286 
.582 665 
.583044 
.583 422 
.583800 

9-584177 
Got. 



D. 1". 



Got. 



6^55 
6^53 
6-55 
6.53 
6-53 
6.52 

6.53 
6.52 

6.52 

6.50 

6.50 
6.50 
6.50 
6.48 
6.50 

6.47 
6.48 
6.48 
6.47 
6.45 

6.47 

6.45 
6.45 

6.45 
6.45 

6.43 

6.43 

6.43 
6.42 

6.43 
6.42 
640 
6.42 
6.40 
6.40 

6.40 
6.38 
6.38 
6.38 
6.38 

6.38 
6-37 
6.37 
6^35 
6-37 

6.35 
6.35 
6.35 
6.33 
6.33 . 

6.33 

6.33 
6.32 

6.32 

6.32 

6.32 
6.32 
6.30 
6.30 
6.28 

D. 1". 



0438 934 

.438541 
.438 149 

•437 756 
437 364 

0.436 972 
.436 581 
.436 189 
-435 798 
435 407 

0435017 
•434 627 
•434 237 
433 847 
433 458 

0.433 068 
.432 680 
432 291 
431902 

.431 5H 
0.431 127 

•430 739 
430 352 
.429 965 

429 578 
0429 191 
428805 
.428419 
.428 033 
.427 648 

0427 262 
.426 877 
426 493 
.426 108 

.425 724 

0425 340 

•424 956 

424 573 
424 190 

423 807 

0423 424 
423 041 
.422 659 
.422 277 
421 896 

0.421 514 

421 133 
420 752 
.420371 
419 991 

0.419 611 
.419231 
418 851 
.418472 
418093 

0.417 714 

417335 
.416956 

416578 

416 200 

0415823 
Tan. 



60 

59 
58 
57 
56 

55 
54 
53 
52 

1^ 

49 

48 

47 
46 

45 
44 
43 

42 

41 
40 
39 
38 
37 
36 

35 
34 
33 
32 

31 

30 

29 
a8 

27 
a6 

25 

24 

23 
aa 

ai 

ao 

19 
18 

17 
z6 

15 

14 

»3 
la 

II 
10 

9 
8 

7 
6 

5 

4 

3 

2 

I 



LOGARITHMIC SINES, 



COSINES, TANGENTS. 
21° 



AND COTANGENTS. 



Bii. 



554329 
554658 
554987 ' 
-555 315 
555 643 
■555 971 
■550 !99 

■556 953 
■557 2&> 
.557606 
■557 93* 
.558 «8 
■558 583 
,558909 
■559 S34 
.559 558 
■559% 

.560531 

.560 855 



561 146 

562468 
.562 790 
■563112 
■563 433 
563 755 
564075 
,564396 
564716 
565 036 
■565 356 
165 676 
;6S99S 
■66632 
166951 
167269 
167 587 
167904 
;6S 322 
;68 539 



70435 
.570 751 
571066 
571380 
571695 
.572009 
572323 
57* 636 

572 950 

573 263 
■573575 , 



9.970 152 
.970 103 
.970055 
.970006 
.969957 

9,969909 
.969 S60 
.969811 
.969 762 
.969 714 

9.969665 
.969616 
■969 567 
.969 5'8 
.969469 

9,969 420 
.969 370 
.969321 
,969 272 
,969 223 

9-969 173 
.969 124 
.969075 
.969025 
.968976 

9,968 926 
,968 877 
,968 827 
,968777 



.968 628' 
,968578 
,968 528 



.968 329 
.96S 278 
.968 228 
9.96." 178 
.968128 
.968 078 

.967977 

9.967 927 
.967 876 
,967 826 
,967 775 
■967 725 

9,967 674 
.967 624 
,967 573 
.967 522 
.967 471 

9,967421 
.967 370 
■967319 
.967 268 
.967217 

9,967 r66 



■584932 
.585 309 
.585 686 

9.586062 
■586439 
,586815 
■587 190 
.587566 

9-587 941 
,588316 
,588691 
.589066 
.589440 

9.589814 
.590188 
.590 563 
■590935 
-5913^ 

9.591 681 
■592054 
.592 426 
.592 799 
■593 '7' 

9-593 54* 
.593 9'4 
■594 285 
-594656 
-595 0*7 

9.595 398 
■595 768 
.596 138 
.596 508 
.596878 

9.597 247 
.597616 

■597 985 
■598 354 
,598 722 
9,599091 
■599 459 
■599 827 

9,600 929 

.601 663 

.602 395 

,603 127 
-603493 
,603858 

9.604 588 
,604953 
-605317 
.60; 6S2 
.606046 



Oat. 



6,27 
6,25 
6.27 



6.15 
6.15 
6,15 
6.15 
6,13 
6.15 
6,13 



i-ir| 



40 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

22° 



O 
Z 

2 

3 

4 

5 

6 

7 
8 

9 

lO 

iz 

12 

13 
14 

i6 

17 
i8 

19 

20 
21 
22 

23 
24 
25 
26 
27 
28 
29 

30 

31 
3a 

33 
34 

35 
36 

37 
38 

39 
40 
41 
4a 
43 
44 

45 

46 

47 
48 

49 
50 
51 
5a 
53 
54 

55 

56 
57 
58 

59 
60 



Sin. 



9-573 575 
.573 888 
.574 200 
•574512 
.574824 

9.575 136 

.575 447 

•575 758 
.576069 

•576 379 

9.576689 

.576 999 

.577 309 
.577618 

.577927 

9.578 236 

•578 545 
.578 853 
•579 162 
.579 470 

9-579 777 
.580 085 

.580 392 

.580699 

.581 005 

9.581 312 
.581 618 
.581 924 
.582 229 
•582 535 

9.582 840 

•583 145 

.583 449 

•583 754 
.584 058 

9.584 361 
.584 66j 
.584 968 
.585 272 

.585 574 

9.585 877 
.586 179 
.586482 
.586 783 
.587 085 

9.587 386 
.587 688 
.587 989 
.588 289 
.588 590 

9.588 890 
.589190 
.589 489 

.589 789 
.590 088 

9590 387 
.590 686 

.590 984 

.591 282 

•591 580 

9-59' 878 

Ooi. 



D. 1". 



.22 
.20 
.20 
.20 
.20 

.18 
.18 
.18 

•17 
.»7 

•"7 
•«7 
•15 
•15 
■>5 

•«5 

.«3 

•15 

•13 
.12 

•13 
.12 

.12 

.10 

.12 

.10 
.10 
.08 
.10 
.08 

.08 

•07 
.08 

•07 
•05 
.07 
.05 
.07 

•03 
•05 

•03 

•05 
.02 

•03 

.02 

•03 
.02 

.00 

.02 

.00 

5.00 

4.98 
5.00 

4.98 
4.98 

4.98 

4-97 
4.97 
4-97 
4.97 

D. 1". 



G08t 



9.967 166 

.967115 

.967 064 

.967013 

.966 961 

9.966910 
.966 859 

.966808 

.966 756 
.966 705 

9.966 653 

.966 602 
.966 550 
.966 499 
.966447 

9.966 395 
.966344 
.966 292 
.966 240 
.966 188 

9.966 136 
.966 085 
.966 033 
.965 981 
.965 929 

9.965 876 
.965 824 
.965772 
.965 720 
.965 668 

9.965615 

•965 563 
.965511 

.965 458 

.965 406 

9965 353 
.965 301 

.965 248 

.965 195 

•965 143 
9.965 090 
.965 037 
.964 984 
.964931 
.964 879 

9.964 826 

.964 773 
.964 720 

.964 666 

.964613 

9.964 560 
.964 507 

•964 454 
.964 400 

•964 347 

9.964 294 

.964 240 

.964 187 

.964 ^33 
.964 080 

9.964 026 



D. 1". 



.85 
•85 

i^ 

.87 
.85 
.85 

.87 

•85 
•87 
.85 
.87 

•87 
.87 

i^ 
.87 

.87 
.87 
.87 

.85 
.87 

•87 



•?7 
.87 

.87 

.87 
.88 

.87 
.87 
.88 

•87 
.88 

.87 
.88 
.88 
.87 
.88 

.88 
.88 
.88 

•H 

.88 

.88 
.88 
.90 
.88 
.88 

.88 
.88 
.90 
.88 
.88 

.90 
.88 
.90 
.88 
.90 

670 



Tan. 



9.606410 
.606773 
.607 137 
.607500 
.607 863 

9.608 225 
.608 588 
.608 950 
.609312 
.609674 



0036 

0397 
0759 

I 120 

I 480 

I 841 
2201 
2561 
2921 
3281 

3641 
4000 

4 359 
4718 
5077 

5 435 

5 793 

6 151 

6509 
6867 

7224 
7582 

7 939 
8295 
8652 

9008 

9364 
9720 
.620 076 
.620 432 

9.620 787 
.621 142 
.621 497 
.621 852 
.622 207 

9.622 561 
.622915 
.623 269 
.623 623 
.623 976 

9.624 330 
.624 683 
.625 036 
.625 388 
.625 741 

9.626 093 
.626 445 
.626 797 
.627 149 
.627 501 

9.627 852 

Got 



9.6 
.6 
.6 
.6 
.6 

9.6 
.6 
.6 
.6 
.6 

9.6 
.6 
.6 
.6 
.6 

9.6 
.6 
.6 
.6 
.6 

9.6 
.6 
.6 
.6 
.6 

9.6 
.6 
.6 



D. 1". 



6.05 
6.07 
6.05 
6.05 
6.03 

6.05 
6.03 
6.03 
6.03 
6.03 

6.02 
6.03 
6.02 
6.00 
6.02 

6.00 
6.00 
6.00 
6.00 
6.00 

.98 

.98 
.^8 
.98 

•97 

•97 
•97 
•97 
•97 
•95 

•97 
•95 
•93 
•95 
•93 

•93 

.93 

•93 

•93 
.92 

•92 
.92 

•92 
.92 
.90 

.90 

•90 
.90 

.88 

.90 

.88 
.88 
.87 
.88 

.87 

.87 

•87 
.87 
.87 
.85 

D. 1". 



Got. 



0.393 590 
■393 227 
.3y2 863 
.392 500 
•392 137 

391 775 
39« 4'2 
391 050 
390688 
390 3.26 
389964 
389603 
389241 
388880 
388520 

388159 

387 799 

387 439 

387 079 
386 719 

386 359 
386000 
385641 
385 282 
384923 

384 565 
384207 

383849 
38349" 
383 ^33 
382 776 
382418 
382061 

381 70s 
381348 

380992 
380636 
380280 

379924 
379568 

379 213 
378 858 

378 503 
378 148 

377 793 

377 439 
377 085 
376731 
376 377 
376024 

375670 

375317 
374964 
374612 

374 259 

373907 

373 555 
373203 

372851 
372499 
37 2 148 

T&n. . 



60 

59 
58 
57 
56 

55 
54 
53 
52 

51 

50 

49 
48 

47 
46 

45 



43 
42 
41 
40 

39 
38 

37 
36 

35 

34 

33 

32 

31 

30 

29 
28 

27 
26 

25 

24 

23 
22 

az 

20 

19 
z8 

17 
z6 

15 
14 
13 

Z2 
ZZ 

ZO 

9 
8 

7 
6 

5 

4 

3 

2 

z 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 41 



4.90 
4.90 
4.90 
4.90 

4.88 
4.90 



4.87 
4.87 
4.85 
4.85 
4.85 
4.8s 



4.82 
4.8a 
4.S0 
4.81 
4. So 
4.80 
4.78 



9.964 026 
.963 gjx 
.963919 
.963865 

.963811 

9-0J 757 
.963 704 
.963 650 
.963 596 
-963 54* 

9-963 488 
.963 434 
•963 379 
.963 3*5 
.963271 

9.963217 
.963 163 

.963054 
.962999 
9.962945 
.962890 
.96s 836 
.962781 
.962 727 

9.961 672 

.962 562 
.962 508 
.962453 

9.962 398 
.962343 
.962 2S8 
■962 J33 



.9621 
.961 957 

9.961 S46 
.961 791 
■961 735 
.961680 

9.961 569 
.961 S'3 
.961 458 

.961346 
9.961 290 

.961 235 
.961:- 

■9611 „ 

9.96K 

■9^955 
.960899 
.960843 
.960 7f' 
9.960730 



585 
S.83 
5-83 
S.83 

5.82 
5-83 

5.82 
5.82 



5-78 
5.78 
5.78 
S-78 



.629 25s 
9.629 606 
.629 956 

.630 656 

■63' <»5 
9-631 355 

.631704 

.632053 

.632 402 

.632 750 
9-633099 

-633 447 

-633 795 

-634 143 

.634490 
9-634838 

■635 185 

■635 S3* 

■635 S79 

9-636572 ^Ig 

■636919 578 

■637 *65 5";' 

.63761. I" 

-637956 |-" 

9.638302 ^■'' 

.638647 I'" 

.638992 ^-75 

■639 337 iii 

.639682 5-75 
9.640027 

.640371 ill 

.640716 5-" 

.641060 5" 
.641 404 ^''l 

9-641 747 5.,, 

.642091 S" 

.64*434 [JJ 

■64* 777 il, 

.6ii 120 5-" 

•'^s '*" 5.72 

9.643 463 

.643806 57* 

.^.48 .5;^ 
.644 490 IL 
■^^83* If, 

'AIT. <- 

.645857 

.646199 

.646 540 
9.646 8S1 

.647 222 

-647 562 

.647903 

-648243 
9648 583 



lij 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 
24° 



8h>. 



9(09 3'3 
.609597 
.609880 

.610447 
9.610 729 
.611012 

.611194 
.611576 
.611 S5S 



9613 S4S 
.613825 

.614385 
.61466; 

9,614944 

.615 22J 
.615 502 
.6:5 781 
.616060 

g.6i6 338 
.616616 
.616894 
.617172 
■617450 

9.617727 



.618558 
.61 8 834 
9.619110 
.619 386 

,619938 
.620213 



,6zl 038 
.621313 
.621 587 
9.621 S61 

.621135 
.622 409 

.622 681 
.622 956 
9.623 229 
.623502 

-6^3 774 
.624 047 
.624319 

9.624591 
.624 S63 
■6Z5 "35 
.625 406 
.625 677 

9.625 948 



Oei. 



T>D. 



Oot. 



4.6s 

4-65 
4.6s 
4.65 
4.6s 
463 
4-63 



9.960 730 
.960674 
.960618 
.960561 
.960505 

9.960 448 
.960 391 
■960 335 
.960279 

9.960165 

■959 995 
■959938 

9.959882 
■9598*5 
■959 7^ 
■959 7" 
-959 654 

9^959 596 
■959 539 
■959 482 
-959 4JS 
-959 3&S 

9959 310 
■959253 
.959 195 
-959 '3S 
.959080 

9.959 0^3 
.958965 
.958 90S 
.958850 
.958 792 

9-958 734 
.958677 
.958619 
.958 561 
■958 503 

9958445 
■958387 
.958 329 
-95817' 



-957 979 
.957921 
9.957863 
■957 804 
■957 746 
■957^7 
■957628 

9-957 570 
■957 5'" 
■957452 
■957 393 
■957 335 

9^57276 



Sin. 



9^648 583 
.648 9*3 
.649 263 

.649 942 
9.650 28 1 

.650959 
■651 297 
.651 636 

9-65' 974 
.652 312 
.652650 
.652 9S8 
.653 326 

9.653663 
.654000 
■654 337 
■654674 
.655011 

9^655 348 
.655684 
.656 020 
.656356- 
.656692 

9.657 028 
-657364 
.657699 
,658034 
.658369 

9.658 704 
.659 039 
■659 373 
.659 708 

9,660 376 
.660710 
.661 043 
.661 377 

9.662 043 
.662 376 

.663 041 
-663 375 

9.663 707 

.664 0J9 
■664 371 
.664 703 
.665 035 

9,665 366 
.665 698 
M6 029 
.666360 
,666 691 

9.667 021 
.66; 352 
.667 6S2 
.668o[j 
.668 343 

9.6f>S 673 



5.67 
5-67 
5.65 
5^67 
S-6S 
56s 
5^65 
5^63 
5^65 
5.63 
5-63 
5-63 
Sf>3 
5^63 
5.6J 
562 



5.58 
558 



35' 4' 7 
35' 077 

350 737 
350398 
350058 
349 7 '9 
.349380 
.349041 
■348703 
■348364 
348026 
■347688 
347 JSO 
■347 01 1 
.346 674 

346337 
.346000 
■345663 
■345 326 
■344989 

344652 
■344 3'6 

343980 

343644 
■343308 

■34297' 
342636 
■342 30' 
.341966 
34" 631 
,341 296 
,34096: 
,340627 
,340 292 
339 958 
■339 624 
.339 290 
.338957 
■33S 623 
■338 290 
337 957 
337 624 
■337 291 
.336 958 
.336 625 
336 293 
335 961 
335 629 
335297 
334 965 
334 634 
334 302 
333 97" 
-333 640 
333309 
332 979 
.332 648 
■332 3' 8 
331 987 
33' 657 
33' 327 



Cot. 



TS 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

25° 



43 



Bin. 



o 


9.625 948 


I 


.626 219 


a 


.626 490 


3 


.626 760 


4 


.627 030 


5 


9.627 300 


6 


.627570 
.627 840 


7 


8 


.628 109 


9 


.628 378 


lO 


9.628 647 


ZI 


.628916 


12 


.629 185 


13 


.629 453 


14 


.629 721 


15 


9.629 989 


i6 


.630 257 


I? 


.630524 


z8 


.630 792 


19 


.631 059 


ao 


9.631 326 


21 


.631 593 


22 


.631 859 


23 


.632 125 


24 


.632 392 


25 


9.632 658 


26 


.632 923 


27 


.633 189 


28 


■(>33 454 


29 


'^33 7*9 


30 


9.633 984 


31 


•634 249 


3a 


.6345^4 


33 


.634 778 


34 


.635 042 


35 


9635 306 


36 


•635 570 


37 


•635 834 


38 


.636097 


39 


.636 360 


40 


9.636 623 


41 


.636 886 


42 


.637 148 


43 


.637411 


44 


.637 673 


45 


9637 935 


46 


.638 197 


47 


.638 458 


48 


.638 720 


49 


.638 981 


50 


9.639 242 


51 


•639 503 


5a 


.639 764 


53 


.640 024 


54 


.640 284 


55 


9.640 544 


5& 


.640804 


57 


.641064 


58 


.641 324 


59 


.641 583 


60 


9.641 842 



008. 



D. 1". 



452 
4.52 

4.50 
4.50 

4.50 

4.50 
4.50 
4.48 

4.48 
4.48 

4.48 
448 
4-47 
447 
4^47 

447 
445 
447 
445 
445 

4.45 
443 
4^43 
4-45 
4-43 
4.42 

4^43 
442 
4.42 

4.42 

442 
4.42 
4.40 
4.40 

440 
4.40 

440 
4.38 
4-38 
4.38 

4.38 

4.38 
4.37 
4-37 

4.37 
4-35 
4.37 
4-35 
4^35 

4^35 
4.35 
4^33 
4^33 
4-33 

4.33 
4^33 
4.33 
4.32 
4.32 

D. 1". 



G08. 



9.957 276 
.957217 

.957 158 
.957099 

•957 040 

9.956 981 
.956921 

.956 862 

.956 803 

•956 744 
9.956 684 
.956 625 
.956 566 
.956 506 

.956 447 

9956 387 

•956 327 
.956 268 

.956208 

.956 148 

9.956 089 
.956 029 

.955969 
.955909 

.955 849 

9.955 789 

.955 729 
.955 669 

.955609 

.955 548 

9.955 488 
.955 428 
•955 368 
•955 307 
.955 247 

9.955 186 
•955 >26 
.955 065 

.955 «>5 
.954 944 
9.954 883 
•954 823 
.954 762 
.954 701 

.954 640 

9.954 579 
.954518 

•954 457 

.954 396 

•954 335 

9.954 274 

•954 213 
.954152 
.954090 

•954 029 

9-953 968 
.953906 

.953 845 

.953 783 
.953 722 

9.953 660 
8k^ 



D. 1 



n 



.98 
.98 
.98 
.98 
.98 

1. 00 

.98 

.98 

.98 

1.00 

•98 
.98 

1. 00 
.98 

1. 00 

1.00 
.98 
1. 00 
1. 00 
.98 
1. 00 
1.00 
1. 00 
1. 00 
1. 00 

1. 00 
1. 00 
1.00 
1.02 
1. 00 

1.00 
1.00 
1.02 
1. 00 
1.02 

1.00 
1.02 
1. 00 
1.02 
1.02 

1. 00 
1.02 
1.02 
1.02 
1.02 

1.02 
1.02 
1.02 
1.02 
1.02 

1.02 
1.02 
1.03 
1.02 
1.02 

1.03 
1.02 
1.03 
1.02 
1.03 

640 



Tan. 



9.668 673 
.669002 
.669332 
.669661 
.669991 

9.670 320 
.670 649 
.670 977 
.671 306 
.671 635 

9.671 963 
.672 291 
.672619 
.672 947 
.673 274 

9.673 602 

.673 929 
■674 257 
.674 584 
.674911 

9.675 237 
.675 564 

.675890 

.676 217 

.676 543 

9.676 869 
.677 194 
.677 520 
.677 846 
.678 171 

9.678 496 
.678821 
.679 146 
.679471 

.679 795 

9.680 120 
.680444 
.680768 
.681 092 
.681 416 

9.681 740 
.682 063 
.682 387 
.682 710 
.683 033 

9.683 356 
.683 679 
.684001 
.684 324 
.684 646 

9.684 968 
.685 290 
.685612 
•685 934 
.686 255 

9.686 577 
.686 898 
.687 219 
.687 540 
.687 861 

9.688 182 
Got. 



D. 1". 



548 

5.50 
5.48 

5-50 
5.48 

548 

547 
548 
5.48 
547 

547 
547 
547 
545 
547 

5-45 
547 
545 
5.45 
543 

5-45 
5^43 
5-45 
543 
543 
542 
543 

5-43 
5.42 

542 

542 
5.42 

542 
540 
5.42 

5.40 
5.40 

540 
5.40 
5.40 

538 
5.40 

5.38 
5.38 
5^38 

5.38 

5-37 
5.38 

537 
5.37 



5- 
5- 
5- 
5- 
5- 



■37 
■37 
•37 
•35 
•37 

5-35 
5-35 
5-35 
5.35 
5-35 

i D7T''r 



Got. 



0-33I 327 


60 


■330 998 


59 


.330 668 


58 


•330 339 


57 


.330009 


56 


0.329 680 


55 


.329351 


54 


.329023 


53 


.328 694 


52 


.328 365 


51 


0.328037 


50 


.327 709 


49 


•327 381 


48 


•327 053 


47 


.326 726 


46 


0.326 398 


45 


.326071 


44 


•325 743 


43 


•325416 


42 


.325089 


41 


0.324 763 


40 


.324 436 


39 


.324 1 10 


38 


.323 783 


37 


•323457 


36 


0.323 13' 


35 


.322 806 


34 


.322 480 


33 


.322154 


32 


.321 829 


31 


0.321 504 


30 


.321 179 


29 


.320 854 


28 


.320 529 


27 


.320 205 


26 


0.319880 


25 


•.319556 


24 


.319 232 


23 


.318908 


22 


.318584 


21 


0.318 260 


20 


•317937 


19 


.317613 


18 


.317290 


17 


.316967 


z6 


0.316644 


15 


.316321 


14 


.315999 


13 


.315676 


Z2 


•315354 


II 


0.315032 


10 


.314710 


9 


.314 388 


8 


.314066 


7 


.313745 


6 


0.313423 


5 


.313 102 


4 


.312781 


3 


.312460 


a 


.312 139 


z 


0.311 818 






Tan. 



44 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

26° 



M. 



Bin. 



o 


9.641 842 


z 


.642 lOI 


2 


.642 360 


3 


.642618 


4 


.642 877 


5 


9.643 135 


6 


•643 393 


7 


.643 650 


8 


.643 908 


9 


.644165 


10 


9.644 423 


II 


.644680 


la 


.644936 


13 


.645 »93 


14 


.645 450 


15 


9.645706 


i6 


•645962 


17 


.646 218 


i8 


.646 474 


19 


.646 729 


ao 


9.646 984 


ai 


.647 240 


aa 


.647 494 


23 


.647 749 


24 


.648004 


as 


9.648 258 


a6 


.648512 


a7 


.648 766 


a8 


.649 020 


ag 


.649 274 


30 


9.649 527 


31 


.649 781 


3a 


.650034 


33 


.650 287 


34 


.650 539 


35 


9.650 792 


36 


.65 1 044 


37 


.651 297 


38 
39 


.651 549 
.651 800 


40 


9.652052 


41 


.652 304 


4a 


.652 555 


43 


.652806 


44 


•653 057 


45 


9.653 308 


46 


•653 558 


47 


.653 808 


48 


.654 059 


49 


•654 309 


50 


9.654 558 


51 


.654 808 


5a 


.655 058 


53 


•655 307 


54 


.655 556 


55 


9.655 805 


56 


.656054 


57 


.656 302 


58 


•656551 


59 


•656 799 


60 


9.657 047 



D. 1". 



O08. 



4.3a 
4-32 
4.30 

4.3a 
4.30 

4.30 
4.28 

4.30 
4.28 

4.30 

4.28 

4.27 
4.28 

4.28 

4.27 

4.27 
4.27 
4.27 
4.25 
4.25 

4.27 
4.23 
4.25 
4.25 
4.23 

4.23 
4.23 
4.23 
4.23 
4.22 

4.23 
4.22 
4.22 
4.20 
4.22 

4.20 
4.22 
4.20 
4.18 
4.20 

4.20 
4.18 
4.18 
4.18 
4.18 

4.17 
4.17 
4.18 
4.17 
4.15 

4-17 
4.17 
4.15 
4-15 
4.15 

4.15 
413 
415 
413 
4-13 

D. 1". 



Ooi. 



D. 1". 



9.953 660 
.953 599 
.953 537 
•953 475 
.953413 

9.953 352 
.953 290 

•953 228 
•953 166 
.953 104 

9.953 042 
.952980 
.952918 
.952 85s 
.952 793 

9.952 731 
.952669 

.952606 

.952 544 

.952 481 

9.952419 

.952 356 
•952 294 
•952 231 
.952 168 

9.952 106 
.952 043 
.951 980 
.951 917 
.951 854 

9.951 791 
.951 728 
.951 665 
.951 602 

•951 539 

9.951476 

.951412 

•95 » 349 
.951 286 

.951 222 

9-95" >59 
•95 ' 096 

•95 « 032 
.950 968 

.950 905 

9.950 841 
.950 778 

.950714 
.950 650 

.950 586 

9.950 522 
.950 458 

.950 394 
•950 330 
.950 266 

9.950 202 
.950 138 
.950 074 
.950010 

•949 945 
9.949 881 

Sin] 



.02 

.03 
.03 

•03 
.02 

•03 
.03 
•03 
•03 
•03 

•03 
.03 
•05 
.03 
.03 

•03 
•05 
.03 
.05 

.03 
.05 
•03 
•05 
•05 
•03 

•05 

•05 
.05 

•05 
•05 

•05 
.05 

.05 

.05 

.05 

•07 

•05 
.05 

.07 

■05 

•05 
•07 
•07 
•05 
.07 

•05 
.07 

.07 

.07 

.07 

.07 

•07 
.07 

.07 

.07 

.07 

•07 
.07 

.08 
•07 



Tui. 



,D. 1". 

63^ 



9.688 182 
.688502 
.688823 
.689143 

.689463 

9.689 783 
.690 103 
.690423 
.690742 
.691 062 

9.691 381 
.691 700 
.692 019 
.692 338 
.692 656 

9.692 975 

•693 293 
.693612 

.693930 
.694248 

9.694566 
.694883 
.695 201 
.695 J18 
.695 836 

9.696 153 
.696470 
.696 787 
.697 103 
.697420 

9.697 736 
.698 053 

.698369 

.698 685 

.699001 

9.699316 
.699632 
.699947 
.700 263 
.700 578 

9.700 893 
.701 208 

•701 J23 

.701 837 

.702 152 

9.702 466 
.702 781 

.703 095 
.703 409 

.703 722 

9.704 036 

.704 350 
.704 663 

.704 976 

.705 290 

9.705 603 

.705 916 
.706 228 
.706 541 

.706 854 

9.707 166 
Got. 



D. 1«. 



5-33 
5-35 
5-33 
5-33 
5-33 

5-33 
533 
5-32 
5-33 
532 

5-32 
532 
532 
530 
532 

5-30 
532 
530 

530 
530 

5.28 

530 
5.28 

530 
5.28 

5.28 
5.28 

5.28 
5-27 
5.28 
5-27 
527 
5^27 
525 



5- 
5- 
5- 

5- 
5 

5- 
5 
5 

5- 



27 
25 
27 
25 
25 

25 
25 
23 
25 



523 

525 

523 

523 
5.22 

523 

523 
5.22 

5.22 

523 
5.22 

5.22 
5.20 
5.22 
5.22 
5.20 

D. 1". 



Out. 



0.311818 
.3« i 498 

.311 177 
.3'o857 

•3«o 537 

0.310 217 

•309897 

.309577 
•309 25S 
.308938 

0.308619 
.308300 
.307981 
.30766a 
.307344 

0.307 025 

.306707 
.306388 
.306070 

.305 75a 

0.305 434 
.305117 

•304799 
.304 482 

.304164 

0.303 847 
.303530 

.303 213 
.302897 
.302580 

0.302 264 

.30" 947 
.301 631 

.301 3»5 
•300999 
0.300684 
.300368 
.300053 

.299 737 
.299 422 

0.299 107 
.298 792 
.298 477 
.298163 
.297 848 

0.297 534 
.297 219 
.296905 
.296 591 
.296 278 

0.295 964 
.295 650 

.295 337 
.295 024 

.294 710 

0.294 397 
.294084 
.293 772 

•293 459 
.293 146 

0.292 834 
Tan. 



60 

59 
5» 

57 
56 

55 
54 
53 
5a 
5» 
50 

49 
48 

47 
46 

45 
44 
43 
4a 
41 

40 
39 
3« 
37 
36 

35 
34 
33 
32 

31 
30 

29 

a8 
27 

26 

a5 
a4 
as 

22 

ai 

20 

19 
18 

17 
16 

15 

14 

13 
la 

II 

10 

9 
8 

7 
6 

5 

4 

3 

a 

I 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 45 

27° 



o 

z 
a 

3 
4 

5 
6 

7 
8 

9 

10 
XI 

xa 

13 
M 

z6 

17 
i8 

19 
ao 
ai 
aa 

23 
24 

25 
a6 

27 
a8 

29 
30 

31 
32 
33 
34 

35 
36 
37 
38 

39 
40 

41 
42 

43 
44 

45 
46 

47 
48 
49 
50 
51 
52 
53 
54 

55 

56 
57 
58 
59 
60 



Bin. 



9.657047 
.657 29s 

.657 542 
.657 790 

.658 037 

9.658 284 
.658 531 
.658 778 
.659 025 
.659 271 

9.659517 
.659 763 
.660009 
.660255 
.660 501 

9.660 746 
.660991 
.661 236 
.661 481 
.661 726 

9.661 970 
.662 214 
.662 459 
.662 703 
.662 946 

9.663 190 

•663 433 
.663 677 
.663 920 
.664163 

9.664406 
.664 648 
.664891 
.665 133 
•665 375 

9.665617 
.665 859 
.666 100 
.666 342 
.666 583 

9.666 824 
.667 065 
.667 305 
.667 546 
.667 786 

9.668 027 
.668 267 
.668 506 
.668 746 
.668 986 

9.669 225 
.669 464 
.669 703 
.669942 
.670 181 

9.670 419 
.670 658 
.670 896 
.671 134 
.671 372 

9.671 609 
Cob. 



D. 1". 



4.13 
4.12 

4.13 
4.12 

4.12 

4.12 
4.12 
4.12 
4.10 
4.10 

4.10 
4.10 
4.10 
4.10 
4.08 

4.08 
4.08 
4.08 
4.08 
4.07 

4.07 
4.08 
4.07 
4.05 
4.07 

4.05 
4.07 
4.05 
4.05 
4.05 

4.03 

4.05 
403 
403 
403 

403 
4.02 

4.03 
4.02 

4.0a 

4.02 
4.00 
4.02 
4.00 
4.02 

4.00 

398 
4.00 
4.00 
3.98 

3.98 
398 
398 
398 
3-97 
3.98 
3-97 
3-97 
3-97 
3-95 

D. 1". 



Cos. 



9.949 881 
.949816 

•949 752 
.949 688 

•949 623 

9.949 558 

•949 494 
.949 429 

.949364 
.949 300 

9-949 235 
.949170 

.949 105 
.949 040 

.948 975 
9.948 910 
.948 845 
.948 780 
.948715 
.948 650 

9.948 584 
.948519 
.948 454 
.948 388 
.948 323 

9.948 257 
.948 192 
.948 126 
.948060 

•947 995 
9.947 929 
.947 863 
.947 797 
•947 731 
•947 665 
9.947 600 

•947 533 

•947 467 
.947 401 

•947 335 

9.947 269 

.947 203 

•947 '36 

•947 070 
.947 004 

9946 937 
.946 871 

.946 804 

.946 738 

.946671 

9.946 604 

.946 538 
.946471 
.946 404 
.946 337 
9.946 270 
.946 203 
.946 136 
.946 069 
.946 002 

9945 935 
Sin. 



D. 1". 



1.08 
1.07 
1.07 
1.08 
1.08 

1.07 
1.08 
1.08 
1.07 
1.08 

1.08 
1.08 
1.08 
1.08 
1.08 

1.08 
1.08 
1.08 
1.08 
1. 10 

1.08 
1.08 
1. 10 
1.08 
1. 10 

1.08 
1. 10 

l.IO 

1.08 

l.IO 

l.IO 
l.IO 
l.IO 
l.IO 

1.08 

1. 12 
l.IO 
l.IO 
l.IO 
l.IO 

l.IO 
1. 12 
1,10 
l.IO 
1. 12 

l.IO 
1. 12 
l.IO 
1. 12 
1. 12 

l.IO 
1. 12 
1. 12 
1. 12 
1. 12 

1. 12 
1. 12 
1. 12 
1. 12 
1. 12 



Tan. 



// 



D.l 



62P 



9- 



9.707 166 
^07 478 

W790 
^08 102 

.708 414 
^08726 
^09037 

m 349 
^09660 

ro9 97i 

[0282 

0593 
0904 

1 215 
1525 

1836 

2 146 
2456 
2766 
3076 

3386 
3696 
4005 

4314 
4624 

4933 
5242. 

555* 
5860 

6168 

6477 
67S5 

7093 
7 401 
7709 

8017 

8325 
8633 
8940 

9248 



9. 



9 
9 



55 
62 

20 169 
20476 
20783 

21 089 
21 396 
21 702 
22009 
22315 

22621 

22927 

23232 

23538 

23844 

24149 

24454 
24760 

25065 
25370 
9725 674 
Got. 



D. 1". 



5.20 
5.20 
5.20 
5.20 
5.20 

5.18 
5.20 
5.18 
5.18 
5.18 

5.18 
5-i8 
5.18 

5.18 

5-»7 
5^'7 
5-17 
5->7 
5.17 

5-«7 
5-»5 
5.15 
5-»7 
' 5-^5 

5-15 

s-n 

5->5 
5-13 
5'5 

5>3 
5«3 
5»3 
5-13 
5.>3 

5->3 

5^13 
5.12 

5-13 
5.12 

5.12 
5.12 
5.12 
5.12 
5.10 

512 
5.10 
5.12 
5.10 
5.10 

5.10 
5.08 
5.10 
5.10 
5.08 

5.08 
5.10 
5.08 
5.08 
5.07 

D. 1". 



Got. 



0.292 834 
.292 522 
.292 210 
.291 898 
.291 586 

0.291 274 
.290 963 
.290651 
.290 340 
.290 029 

0.289 718 
.289 407 
.289 096 
.288 785 
.288 475 

0.288 164 
.287 854 
.287 544 
.287 234 
.286 924 

0.286 614 
.286 304 
•285 995 
.285 686 
.285 376 

0.285 067 

•284 758 
.284 449 
.284 140 
.283 832 

0.283 523 
.283 215 
.282 907 
.282 599 
.282 291 

0.281 983 
.281 675 
.281 367 
.281 060 
.280 752 

0.280 445 
.280 138 
.279 831 

•279 524 
.279 217 

0.278 91 1 
.278 604 
.278 298 
.277991 
.277 685 



0.277 379 


xo 


•277 073 


9 


.276 768 


8 


.276 462 


7 


.276 156 


6 


0.275851 


5 


.275 546 


4 


.275 240 


3 


.274 935 


a 


.274 630 


z 


0.274 326 






Tan. 



60 

59 
58 

57 
56 

55 
54 
53 
52 

51 

50 

49 
48 

47 
46 

45 
44 
43 
42 
41 
40 

39 
38 

37 
36 

35 
34 
33 
32 
31 
30 

29 
a8 

27 
a6 

25 
24 
23 
aa 

ax 

ao 

19 
x8 

17 
x6 

15 

14 

13 
la 

II 



46 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

28° 



O 

z 
a 

3 

4 

5 
6 

7 
8 

9 
ko 
zi 

Z2 

13 
14 

z6 

17 
z8 

19 
ao 
az 
aa 
a3 

a4 

25 

a6 

27 
a8 

ag 

30 
31 
3a 
33 
34 

35 
36 
37 
38 

39 
40 

41 
4a 
43 
44 

45 
46 

47 
48 

49 
50 
51 
5a 
53 
54 

55 
56 

57 
58 
59 
60 



Bin. 



9.671 609 
.671 847 
.672084 
.672 321 
.672 558 

9.672 795 
.673 032 
.673 268 

•673 505 
•673 74i 

9673 977 
.674 213 

.674 448 

.674 684 

.674919 

9675 155 
•675 390 
.675 624 

.675 859 
.676 094 

9.676 328 
.676 562 
.676 796 
.677 030 
.677 264 

9.677 498 

•677 731 
.677 964 

.678 197 

.678 430 

9.678 663 
.678 895 

.679 125 
.679 360 
.679 592 

9.679 824 
.680 056 
.680288 
.680519 
.680 750 

9.680 982 
.681 213 
.681 443 
.681 674 
.681 905 

9.682 135 
.682 365 
.682 595 
.682 825 
.683055 

9683 284 
.683514 
.683 743 
.683 972 
.684 201 

9.684 430 
.684 658 
.684 887 
.685 115 

•685 343 
9-685 571 

OOB. 



D. 1". 



3-97 
3-95 
3-95 
3-95 
3-95 

3-95 
3-93 
3-95 
3.93 
3.93 

3-93 
3-92 
3-93 
392 

3-93 

392 
390 
392 
392 
390 

3-90 

3.90 
390 

3-90 
3-90 

3.88 
3.88 
3.88 
3.88 
3.88 

387 
3.88 

3-87 
387 
387 

3.87 
3.87 
3.85 
3.85 
3.87 

3.85 
3.83 

3.85 
3.85 
3.83 

3-83 

3.83 

3-83 

3.83 
382 

3.83 
3.82 

3.82 

3.82 

3.82 

3.80 
3.82 
380 
3.80 
3.80 



D. 1". r 



008. 



9-945 935 
.945 868 

.945 800 

•945 733 
.945 666 

9-945 598 
.945 531 
'945 464 
.945396 
•945 328 

9.945 261 

•945 '93 
•945 "25 
•945 058 
.944990 

9.944 922 

•944 854 
.944786 

.944718 

•944 650 

9.944 582 

.944 5 '4 
.944446 

•944 377 

.944309 

9.944 241 

.944172 

.944 104 

•944 036 

-943 967 

9-943 899 
.943 830 
.943761 
•943 693 
•943 624 

9943 555 
•943 486 
•943417 
•943 348 
•943 279 

9.943 210 

•943 141 
•943 072 
•943 003 
.942 934 
9.942 864 

-942 795 
.942 726 
.942 656 
-942 587 

9-942517 
.942 448 

.942 378 

.942 308 

.942 239 

9.942 169 
-942099 
.942 029 

•941 959 
.941 889 

9.941 819 

Ski 



D. 1". 



12 

>3 
12 

12 
13 
12 
12 

»3 

13 
12 

13 

13 
12 

13 
13 

13 
13 
13 
13 
13 

13 
13 
«5 
13 
"3 

"5 
13 
13 
'5 
>3 

»5 
«5 
13 
15 
»5 

15 
>5 
15 
«5 
«5 

«5 
15 
15 
'5 
17 

15 
'5 
17 
15 
17 

15 
17 
17 
15 
17 

17 
17 
17 
17 
17 



D. 1^ 

6P 



Tan. 



9- 



25674 

25979 
26284 

26588 

26892 

27197 
27501 

27 805 

28 109 
28412 

28716 
29020 

29323 
29626 

29929 
30233 

3053 
3083 

31 «4i 
31444 

31746 
32048 

3235* 
32653 

32955 

33257 
33558 
33860 

34 162 

34463 

34764 
35066 

35367 
35668 

35969 

36 269 

36570 
36870 

37 171 
37 47' 

37771 
38071 

38371 
38671 

3897' 

39271 
39570 
39870 
40 169 
40 46S 

40 767 

41 066 

41 365 
41 664 

41 962 

42 261 

42 559 

42 858 

43 156 
43 45^ 
43752 
Got. 



D. 1". 



Got. 



5.08 
5.08 
5.07 
5.07 
5.08 

5.07 
5.07 
5.07 

505 
5.07 

5.07 
5.05 

5.05 
5.05 
507 

5.03 

5.05 
5.05 

505 
503 

503 
5-05 
5-03 
503 
503 
5.02 

503 
503 
5.02 

5.02 

503 
5.02 

5.02 

5.02 

5.00 

5.02 
5.00 
5.02 
5.00 
5.00 

5.00 
5.00 
5.00 
5.00 
5.00 

4-98 
5.00 

4.98 

4-98 
4.98 

4.98 
4.98 
4.98 

4-97 
4.98 

4-97 
4.98 

4-97 
4-97 
4.97 



D. 1 



// 



0.274 326 
.274021 
.273 716 
.273412 
.273 108 

0.272 803 
.272 499 

.272 195 
.271 891 
.271 588 

0.271 284 
.270 980 
.270 677 

•270 374 
.270071 

0.269 767 
.269 465 
.269 162 
.268 859 
.268 556 

0.268 254 
.267 952 
.267 649 
.267 347 
.267 045 

0.266 743 
.266442 
.266 140 
.265 838 
.265 537 

0.265 236 
.264934 
.264 633 
.264 332 
.264031 

0.263 73^ 
.263 430 
.263 130 
.262 829 
.262 529 

0.262 229 
.261 929 
.261 629 
.261 329 
.261 029 

0.260 729 
.260 430 
.260 130 

•259 831 
•259 532 
0.259 233 
.258 934 
.258 635 
.258 336 
.258 038 

©•257 739 
.257 441 
.257 142 
.256844 
.256 546 

0.256 248 
Tan. 



60 

59 
58 
57 
56 

55 
54 
53 
52 
51 

50 
49 
48 
47 
46 

45 
44 
43 
42 
41 
40 

39 
38 

37 
36 

35 
34 
33 
3a 
31 
30 
ag 
aS 
vj 
a6 

25 

24 

23 
aa 

az 

ao 

19 
z8 

17 
z6 

15 

14 

13 
za 

zz 

zo 

9 
8 

7 
6 

5 

4 

3 

a 

z 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 47 



o 

I 
a 

3 

4 

5 
6 

7 
8 

9 
10 
II 
12 

13 
14 

15 
16 

17 
18 

19 
20 
21 
22 
23 

24 

as 
26 

27 

28 

29 

30 
31 
32 
33 
34 

35 
36 
37 
38 
39 
40 

41 
42 
43 
44 

45 
46 
47 
48 
49 

50 
51 
52 
53 
54 

55 

56 
57 
58 

59 
60 



Bin. 



9.685 571 
.685 799 
.686 027 
.686 254 
.686482 

9.686 709 
.686 936 
.687 163 
.687 389 
.687 616 

9.687 843 
.688069 
.688 295 
.688 521 
.688 747 

9.688 972 
.689 198 
.689 423 
.689 648 
.689 873 

9.690098 
.690323 
.690548 
.690772 
.690996 

9.691 220 
.691444 
.691668 
.691 892 
.692 115 

9.692 339 
.692 562 
.692 785 
.693008 

.693 231 

9-693 453 
.693 676 

.693898 

.694 120 

.694342 

9.694 564 
.694 786 
.695007 
.695 229 

•695 450 

9.695 671 
.695 892 
.696 113 
.696 334 
.696 554 

9.696 775 
.696 995 
.697 215 

.697 435 
.697 654 

9.697 874 
.698094 
.698313 
.698 532 
.698751 

9.698 970 
O08. 



D. 1". 



3.80 
3.80 

3.78 
380 

3.78 

3.78 
3.78 
3-77 
3.78 
3.78 

3-77 
3-77 
3-77 
3-77 
3.75 

3-77 
3.75 
3.75 
3.75 
3.75 

3-75 
3.75 
3-73 
3-73 
3-73 

3-73 
3.73 
3-73 
372 
3-73 
3-72 
372 
372 
3-72 
370 

3-72 
3-70 
3-70 
370 
370 

370 
3-68 

370 
3.68 
3.68 

3.68 
3.68 
3.68 

367 
3.68 

3.67 
3.67 
3.67 
365 
367 

367 
3.65 
365 
3.65 
365 

D. 1". 



O08. 



9.941 819 

.941 749 
.941 679 

.941 609 
•941 539 
9.941 469 
.941 398 
.941 328 
.941 258 
.941 187 

9.941 117 
.941 046 

.940 975 
.940 905 

.940 834 

9.940 763 
.940 693 
.940 622 
.940551 
.940 480 

9.940 409 

•940 338 
.940 267 
.940 196 
.940 125 

9.940 054 
.939 982 
.939911 
•939 840 
•939 768 

9.939 697 
.939 625 

.939 554 
.939 482 

•939 410 

9-939 339 
•939 267 
.939 195 
.939 123 
.939 052 

9.938 980 
.938908 
.938 836 
.938 763 
.938691 

9.938619 
.938 547 
.938 475 
.938 402 

•938 330 
9.938 258 
.938 185 
.938 113 
.938 040 

.937 967 

9.937 895 
■937 822 
.937 749 
.937 676 
.937 604 

9-937 531 

Sin. 



D. 1". 



»7 
17 

17 
17 
17 
18 

17 

17 
18 

17 
18 
18 

17 
18 

18 

17 
18 

18 

18 

18 

18 
18 
18 
18 
18 

20 
18 
18 
20 
18 

20 
18 
20 
20 
18 

20 
20 
20 
18 
20 

.20 
.20 
.22 
.20 
.20 

.20 
.20 
.22 
.20 
.20 

.22 
.20 
.22 
.22 
.20 

.22 
.22 
.22 
.20 
.22 



6^ 



Tan. 



9.743 752 
.744050 

•744 348 
•744645 
•744 943 

9.745 240 
.745 538 

.745 835 
.746 132 

•746 429 

9.746 726 
.747 023 

.747 319 
.747 616 

•747913 

9.748 209 

.748 505 
.748 801 
.749 097 

.749 393 

9.749 689 

•749985 
.750 281 

.750 576 

.750 872 

9.751 167 
.751 462 

75» 757 
.752052 

752 347 

9.752 642 

.752 937 
.753 231 
.753 526 
.753 820 

9754 1 15 
.754 409 
.754 703 
.754 997 
.755 291 

9.755 585 
•755 878 
.756 172 

.756 465 
.756 759 

9.757052 

•757 345 

•757 638 

.757931 
.758 224 

9.758517 
.758810 
.759 102 

•759 395 
•759 687 

9-759 979 
.760 272 

.760 564 

.760 856 

.761 148 

9.761 439 

Got. 



D. 1". 



4.97 
497 
4-95 
497 
4.95 

4^97 
4.95 
4-95 
495 
495 

4.95 
4.93 
4.95 
4.95 
4.93 

4-93 
4.93 
4.93 
493 
4.93 

4-93 

4.93 
4.92 

4^93 
4.92 

4.92 
4.92 
4.92 
4.92 
4.92 

4.92 
4.90 

4.92 
4.90 
4.92 

4.90 
4.90 
4.90 
4.90 
4.90 

4.88 
4.90 
4.88 
4.90 
4.88 

4.88 
4.88 
4.88 
4.88 
4.88 

4.88 

4.87 
4.88 

4.87 
4.87 

4.88 

4.87 
4.87 
4.87 
4.85 

D. 1". 



Got. 



0.256 248 

•255 950 
.255 652 

•255 355 
•255 057 
0.254 760 
.254 462 
.254 165 
.253 868 

•253571 
0.253 274 
.252977 
.252 681 
.252 384 
.252087 

0.251 791 

•251495 
.251 199 

.250 903 

.250 607 

0.250 311 
.250015 
.249 719 
.249424 
.249 128 

0.248 833 
.248 538 
.248 243 
.247 948 

•247 653 
0.247 358 
.247063 
.246 769 
.246 474 
.246 180 

0.245 885 

.245 591 
.245 297 

.245 003 

•244709 

0.244 415 
.244 122 
.243 828 

•243 535 
.243 241 

0.242 948 
•242 655 
.242 362 
.242069 
.241 776 

0.241 483 
.241 190 
.240 898 
.240605 
.240313 

0.240 021 
.239 728 

•239 436 
.239 144 

.238 852 
0.238 561 

Tan. 



60 

59 
58 
57 
56 

55 
54 
53 
52 
51 
50 

49 
48 

47 
46 

45 
44 
43 
42 

41 
40 

39 
38 

37 
36 

35 
34 
33 
32 
31 
30 

29 
28 

27 

26 

25 

24 

23 
22 

21 

20 

19 
18 

17 
16 

15 

14 

13 
12 

II 

to 

9 
8 

7 
6 

5 

4 

3 

2 

I 
o 



LOGARITHMIC SINES, COSINES, TANGENTS, 
3(P 

Tm. 

9.761 439 
■761 73' 
.763 013 
76" 314 

9,761 897 



9.698 970 
.699189 
.699407 

.699844 

9.700062 

.700498 

.700933 
9.701 isl 
.701 368 
.70c s8s 

9.701 136 
.701 45» 

.702 885 
.703 101 

97033'? 
■703 533 
-703 749 
.703964 

.704179 

9-704 39S 
.704610 

.704825 
.705040 
.705 254 
9,705 469 



:W 



.706326 

9-706 539 

.706967 
.707180 
.707 393 

9.707 606 
.707 819 

.708145 
.708458 

9.708 670 
.70S 882 
■709094 
.709306 
.709518 

9.709730 
.709941 
■7'oi53 
.710364 



.711629 
9.711839 



3-6S 

3.63 
3.6s 
3-63 
363 

3-63 
3-63 
3-62 
363 



3.60 
3.60 
3.60 
3.60 
3.58 
3-58 
360 

3-5f 
3.58 
3-58 
3-57 
358 



9.937 53' 
-937 458 
.937 385 
■937 3" 
■937 '38 

9-937 '65 
■937 092 
■937 019 
.936946 
■93687^ 

9-936 799 
■936 72s 
-936 652 
.936 578 
■936505 

9-93643' 
■936 357 
-936 ^84 
.936 210 
.936 136 

9.936062 
■935988 
.935 9'4 
■935840 
■935 766 

9.935 692 
■935 618 
■935 543 
■935 469 
.935 395 

9935 3» 
■935 246 
■935 17' 
■935097 
.935022 

9.934948 
■934 873 
■934798 
■934 723 
■934649 

9^934 574 
-934 499 
-934 4^4 
■934349 
-934 a74 

9-934 '99 
■934 1*3 
.934048 
■933 973 
■933 898 

9 933 822 
.933 747 
■933 671 
■933 596 
-933 5*0 

9933 445 
■933 369 
■933 *93 
■933 2' 7 



,763 11 . 
.763 479 
■763 770 

9.764 3S» 

■7*4643 
■764933 
.765 224 
■765 5 '4 

9.765 805 
■766095 
.766385 
.766675 
.766965 

9. 767 *55 
■767 545 
■767834 
.76S124 

768 4' 4- 

9.768 703 
.768992 
.769 281 
■7^57' 
.769860 

9.770 148 
-770437 
.770 726 
■77'oiS 
77' 303 

9.771 59a 
,771880 
.772 168 
■77* 457 
-77a 745 

9-773033 
■773 3" 
.773608 
.773896 
.774 '84 

9-774 471 
■774 759 
.775046 
.77s 333 
■775 621 

9- 775908 
,776 195 
.776481 
.776768 
.777055 

9.777 34* 
.777628 
■777 915 
.778201 
.778488 

9.778 774 



AND COTANGENTS. 



0.238 561 
.233 269 

.237 977 



.236812 
.236 521 
.236 230 
■*35 939 
0.235 648 
235 357 
.23s 067 
.234776 



4^83 
4.82 
4.83 



4-82 

4.80 
4.80 
4.82 
4^ 
4.80 



$ 



.134 

0.234 '95 
■'33 90s 
■233615 
■233 3*5 
■233035 

0.232 745 
■23»4SS 
.232 166 
.231 876 
.231 586 

0.231 297 
.231008 
■*30 7'9 
-230429 
.230 140 

-229 563 

.229 2' - 

.228 9J 
.228 697 
0.228 408 
.228 120 
.227 832 
.227 543 
.227 255 

. .226392 

.225816 
0.225 5*9 
.225 241 
.324954 
.224667 
■324 379 

.323 805 
-223518 
.323 332 
.222945 

a.333 658 



LOGARITHMIC SINES, 



COSINES, TANGENTS, 
310 



.712469 
.712679 
9.712889 
.713098 
.713308 

7"3S"7 
.713726 

9-713935 
.714144 
-7'4 3S2 
.7' 4 5&' 

.714769 
9.714978 



.715809 
9.716017 

■716432 
.716639 
.716846 

9-7' 7053 
.717 259 
.717466 
.717673 
.717879 

9.71808s 
.718291 
,718497 
.718703 
.718909 

9.719 114 
.719320 
■7'9 S^S 
.719730 
■71993s 

9.720140 
■720 34S 
.720549 
■720 754 
.720958 

9.711 162 
,721 366 
■721 570 
■721 774 
.721 978 

■722 385 
.722 588 
■722 79' 
■722994 

9.723 197 
.723400 
■723603 
■723805 
.724007 

9-7=^ 210 
Om. 



3^40 
3-40 
340 
338 
3^40 
338 
3^38 
3-38 
3^38 
3^38 
338 



-^n^l- 



I Ooi._ 

9.933066 
.932990 
.932 914 
.932 838 
.932 762 

9.932 685 
.932609 
■932 533 
■932457 
■932380 

9^932 304 
.932 228 
■932 151 
.932075 
■93' 998 

9.931 921 
■931 845 
93' 768 

.931 691 

.93' 614 

9931 537 
■93' 460 
■931 383 
.931306 
-93' 229 

9-93' '52 
■93' 075 
.930998 
.930921 
■930843 

9.930 766 
.930 688 
.930611 
■930 533 
.930 456 

9930 378 
■930 300 
.930 223 
.930 145 

.930067 
9.929989 
.929911 
■929833 
■929 755 
■929677 
9.929599 
.929 521 
.929442 
.929 364 

9-9*9 207 
.929 129 
.929 050 
.928 972 
.928 893 

9.928815 
.928 736 
.928 657 
.928 578 
.928499 

9.928 420 



T»B. 

9.778 774 
.779060 
■779 346 
■779 632 
■779918 

9.780 103 
.780489 
■780 775 
,781060 
.781 346 

9.781 631 
.7S1 916 
.78220. 
,782486 
,78277' 

9.783056 
■783 341 
,783 626 
,783 9 'o 
-784 '95 

9-784479 
.784764 
,78s 048 
■785 332 
,785616 

9.785 900 
.786184 
.7S6468 
.786 752 
■787 036 

9^787 3'9 
,787 603 



9.790 151 
■790434 
.790716 
.790999 

9 79' 563 
,791 846 

.793410 
,792692 

9,792 974 
■793 256 
■793 538 
-793819 
■794 loi 

9-794 383 
.794664 
.794946 
■795 «7 
■795 508 

9-795 789 
Got, 



AND COTANGENTS. 49 



10082 
0.219797 
■219511 
.219 225 
218940 
218654 
2.8369 
.218084 
217799 
217514 
217229 
0,2.6944 
■216659 
■216374 

.2.5805 

215 52' 

2.5 236 
.214952 
.214668 
■214 384 



4.70 
4-70 
4,70 
4,70 
4.68 
4.70 
4.70 
4.68 



0.209849 

.209001 
-18719 

0.208437 

,ao8.54 

■207590 
.307308 

.206744 

!3o6iS. 
■205899 
0,205 617 
■205 336 
.205 054 
""4 773 



50 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

32° 



O 

I 

2 

3 

4 

5 

6 

7 
8 

9 

lO 

II 

12 

13 
14 

i6 

17 
i8 

19 

20 
21 
22 

23 
24 

25 
26 

27 
28 

29 

30 

31 
32 

33 
34 

35 
36 

37 
38 
39 
40 

41 
42 
43 
44 

45 

46 

47 
48 

49 

50 

51 
52 

53 
54 

55 
56 

57 
58 

59 

60 



Sin. 



24210 
24412 
24614 
24816 
25017 

25 219 
25 420 

25 622 
25823 
26024 

26 225 
26426 
26626 
26827 
27027 

27 228 
27428 
27628 
27828 
28027 

28227 

28 427 
28626 
28825 
29024 

29 223 
29422 
29621 
29820 
30018 

30217 

30415 
30613 

30 811 
31009 

31 206 

31404 
31 602 

3> 799 
31996 

32193 
32390 

32587 
32784 
32980 

33177 

33 373 
33569 
33765 
33961 

34157 

34 353 
34 549 
34 744 

34 939 

35 '35 
35330 

35525 

35 7«9 
35914 

36109 

Oos. 



D, 1". 



3-37 
3-37 
3.37 
3-35 
3-37 

3.35 
3-37 
3-35 
3.35 
3-35 

3.35 
3.33 
3-35 
3-33 
3-35 

3-33 
3-33 
3-33 
332 
3.33 

3-33 
332 
332 
332 
3.32 

332 

3.32 
332 
330 
3-32 

330 
330 • 
3-30 
330 
3.28 

330 

3.30 
3.28 
3.28 
3.28 . 

3.28 
3.28 
3.28 

327 
3.28 

3-27 
327 
327 
3-27 
3-27 

3-27 
327 
325 
3-25 
327 

3-25 
3-25 
323 
325 
325 

D. 1". 



Ooa. 



9.928 420 
.928 342 
.928 263 
.928 183 
.928 104 

9.928 025 
.927 946 
.927 867 
.927 787 
.927 708 

9.927 629 

.927 549 
.927 470 

.927 390 

.927 310 

9.927 231 
.927 151 
.927 071 
.926991 
.926911 

9.926831 
.926751 
.926671 
.926 591 
.926511 

9.926431 
.926 35 1 
.926 270 
.926 190 
.926 no 

9.926 029 

•925 949 
.925 868 

.925 788 

.925 707 

9.925 626 

.925 545 
.925 465 

925 384 

.925 303 

9.925 222 

•925 141 
.925 060 

.924 979 

.924 897 

9.924816 

•924 735 
.924 654 

.924 572 

.924491 

9.924 409 
.924 328 
.924 246 
.924 164 
.924 083 

9.924 001 
.923919 

.923 837 
•923 755 
•923 673 

9-923 591 

Sin. 



D. 1". 



30 
32 

33 
32 
32 

32 
32 
33 
32 
32 

33 
32 
33 
33 
32 

33 
33 
33 
33 
33 

33 
33 
33 
33 
33 

33 
35 
33 
33 
35 

33 
35 
33 
35 
35 

35 
33 
35 
35 
35 

35 
35 
35 
37 
35 

35 
35 
37 
35 
37 

35 
37 
37 
35 
37 

37 
37 
37 
37 
37 



Tan. 



fi 



D. 1 



570 



9.795 789 
.796070 

.796351 
.796 632 

.796913 

9.797 194 

•797 474 

.797 755 
.798 036 

.798316 

9.798 596 
.798877 

.799 157 

.799 437 
.799717 

9-799 997 
.800277 

.800557 

.800836 

.801 116 

9.801 396 
.801 675 
.801 955 
.802234 
.802513 

9.802 792 
.803 072 
.803351 
.803 630 
.803909 

9.804 187 
.804466 
.804 745 
.805 023 
.805 302 

9.805 580 
.805 859 
.806 137 
.806415 
.806693 

9.806971 
.807 249 
.807 527 
.807805 
.808083 

9.808 361 
.808 638 
.808916 
.809 193 
.809471 

9.809 748 
.810025 
.810302 
.810580 
.810857 

9.81 1 134 
.811 410 
.811687 
.811 964 
.812 241 

9812517 
Got. 



D. I". 



4.68 
4.68 
4.68 
4.68 
4.68 

4.67 
4.68 
4.68 
4.67 
4.67 

4.68 
4.67 
4.67 
4.67 
4.67 

4.67 
4.67 
4.65 
4.67 
4.67 

4.65 
4.67 

4.65 

4.65 

4.65 

4.67 
4.65 
4.65 
4.65 

4.63 
4.65 

4.65 
4.63 
4.65 

463 
4.65 

4.63 
4.63 
4.63 
4.63 

463 
4.63 
4.63 
463 
4.63 
4.62 

463 
4.62 

463 
4.62 

4.62 
4.62 

4.63 
4.62 

4.62 

4.60 
4.62 
4.62 
4.62 
4.60 

D. 1". 



Got. 



204 211 
203930 
203649 
203368 
203087 

202806 
202 526 
202245 
201 964 
201 684 

201 404 
201 123 
200843 
200563 
200283 

200003 

99723 

99 443 
99164 

98884 

98604 

98325 
98045 

97 766 
97487 
97208 
96928 
96649 
96370 
96091 

95813 

95 534 

95255 

94 977 
94698 

94420 
94 141 
93863 
93585 
93307 
93029 
92751 

92473 
92195 

91917 

91639 
91 362 
91 084 
90807 
90529 

90252 

89975 
89698 

89420 

89143 
88 866 
88590 
88313 
88036 

87759 

87483 

Tan. 



60 

59 
58 

57 
56 

55 
54 
53 
52 

51 
50 

49 
48 

47 
46 

45 



43 
42 
41 
40 

39 
38 
37 
36 

35 
34 
33 
32 
31 
30 

29 
28 

27 

26 

25 

24 

23 
22 

21 

20 

19 
18 

17 
16 

15 

M 

13 
12 

II 
10 

9 
8 

7 
6 

5 

4 

3 

2 

I 



JLJ 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 51 



Sin. 



9. 


736109 


z 

a 


736 303 
.736 498 


3 


736692 


4 


.736 886 


5 9 


■737080 


6 


737 274 


7 


737 467 


8 


737 66i 


9 


737 855 


10 9. 


738048 


IX 


738 241 


12 


738434 


13 


738 627 


14 


738820 


15 9. 


739013 


16 


739206 


17 


739 398 


z8 


739590 


19 


739 783 


ao 9. 


739 975 


ax 


740 167 


22 


•740 359 


23 


740 550 


24 


740 742 


25 9 


.740 934 


26 


.741 125 


27 


.741 316 


28 


.741 508 


29 


.741699 


30 9 


.741 889 


31 


.742 080 


3a 


.742 271 


33 


.742 462 


34 


■742 652 


35 9 


.742 842 


36 


743033 


37 


.743 223 


38 


■743413 


39 


■743 602 


40 9 


■743 792 


41 


■743 982 


4a 


■744 "7* 


43 


.744 361 


44 


.744 550 


45 9 


744 739 


46 


744 928 


47 


■745 "7 


48 


.745 306 


49 


745 494 


50 9. 


745 683 


51 


745871 


5a 


746060 


53 


.746 248 


54 


.746 436 


55 9 


.746 624 


56 


.746812 


57 


.746 999 


58 


■747 187 


59 


'747 374 


60 9 


.747 562 



Got. 



D. 1". 



3-23 
325 
3-23 
323 
3.23 

3.23 
3.22 

3-23 
323 
3.22 

3.22 
3.22 
3.22 
3.22 

3-22 

3.22 
3.20 
3.20 
3.22 
3.20 

3.20 
3.20 

3.18 
3-20 

3.20 

3.18 
318 

3.2G 
3.18 
3.17 
3.18 
3.18 
3.18 

3IX 

3-17 
318 
317 
3.17 
315 
317 

317 
3.15 
317 
3.15 
3.15 

3.«5 
3.15 
3*5 
313 
3.15 

313 
•15 
13 
13 
13 

13 
3.12 

313 
3.12 

313 



3- 
3. 
3. 
3- 

3- 



D. 1". 



O08. 



9923 59* 

•923 509 

.923 427 

•923 345 
.923 263 

9-923 >8i 
.923 098 
.923016 
.922 933 
.922851 

9.922 768 
.922 686 
.922 603 
.922 520 
.922 438 

9.922 355 
.922 272 
.922 189 
.922 106 
.922 023 

9.921 940 
.921 857 
.921 774 
.921 691 
.921 607 

9.921 524 
.921 441 

•921 357 
.921 274 

.921 190 

9.921 107 
.921 023 

•920 939 
.920 856 
.920 772 

9.920 688 
.920 604 
.920520 
.920436 
.920 352 

9.920 268 
.920 184 
.920099 
.920015 

.919931 

9.919 846 

.919 762 

.919 677 

.9»9 593 
.919 508 

9.919424 

.919 339 
.919 254 

.919 169 

.919085 

9.919000 
.918915 
.918830 
.918745 
.918 659 

9.918574 



Sin. 



D. 1". 



•37 
■37 
•37 
.37 
.37 

•38 

.37 
.38 

•37 
•38 

.37 
.38 
.38 

•37 
•38 

.38 
.38 
•38 
.38 
.38 

'3^ 
.38 
.38 
.40 

•38 
•38 

.40 

.38 

.40 

•38 

40 
.40 

•38 

40 
.40 

.40 
.40 
.40 
.40 
.40 

.40 

•42 
.40 
.40 
•42 
.40 
.42 
.40 
42 
.40 

42 
42 
42 
.40 
.42 

.42 
42 
42 

.43 
.42 



ff 



Tan. 



9.812 517 
.812794 
.813070 

.813347 
.813623 

9.813899 
.814 176 
.814452 
.814 728 
.815004 

9.815 280 

•815 555 
.815831 

.816 107 

.816 382 

9.816658 
•816933 
.817 209 
.817484 
.817759 

9.818035 
.818310 
.818585 
.818860 

•819 135 

9.819 410 
.819684 
.819 959 
.820234 
.820 508 

9.820 783 
.821 057 
.821 332 
.821 606 
.821880 

9.822 154 
.822 429 
.822 703 
.822 977 
.823251 

9.823 524 
.823 798 
.824 072 
.824 345 
.824 619 

9.824 893 
.825 166 
■825 439 

•825 713 
.825 986 

9.826 259 
.826 532 
.826 805 
.827 078 

•82735' 

9.827 624 
.827 897 
.828 1 70 
.828 442 
.828715 

9.828 987 



D. 1". 



D. 1 



56P 



Got. 



4.62 
4.60 
4.62 
4.60 
4.60 

4.62 
4.60 
4.60 
4.60 
4.60 

4.58 
4.60 
4.60 

4.58 
4.60 

4.58 
4.60 

4.58 

4.58 
4.60 

4.58 
4.58 
4.58 
4.58 
4.58 

4.57 
4.58 
4.58 

4.57 
4.58 

4.57 
4.58 

4.57 

4.57 

4-57 

4.58 

4-57 
4.57 
4.57 
4.55 

4-57 
4.57 
4.55 
4.57 
457 

4^55 
4.55 
4.57 
4.55 
4.55 

4.55 
4.55 
4.55 
4.55 
4.55 

4-55 
4.55 
4.53 
4.55 
4.53 



D. 1". 



Got. 



0. 


187 483 


60 




.187 206 


59 




.186930 


58 




.186653 


57 




.186377 


56 





.186 lOI 


55 




.185 824 


54 




.185 548 


53 




.185 272 


52 




.184 996 


51 





184720 


50 




.184445 


49 




.184169 


48 




.183893 


47 




.183618 


46 





.183342 


45 




.183067 


44 




.182791 


43 




.182516 


42 




.182 241 


41 





.181 965 


40 




,181690 


39 




.181415 


38 




.181 140 


37 




.180865 


36 





.180590 


35 




.180316 


34 




.180041 


33 




.179 766 


32 




.179492 


31 





.179217 


30 




■178943 


29 




.178668 


28 




■178394 


27 




.178 120 


26 





.177846 


25 




.177571 


24 




■177297 


23 




.177023 


22 




.176749 


21 





176476 


20 




.176202 


19 




.175928 


18 




■175655 


17 




■175 381 


x6 


0. 


175 107 


X5 




■174834 


14 




174 561 


13 




174287 


12 




174 014 


XZ 


0. 


"73 741 


ZO 




173468 


9 




173 195 


8 




172922 


7 




172649 


6 


0. 


172376 


5 




172 103 


4 




17' 830 


3 




171 558 


2 




171 285 


X 


0. 


171 013 






Tan. 



62 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 
34° 



9-747 5^2 
■747 749 
■747 936 
.748 133 
.748310 

9-748 497 
-748683 
.748 870 
.749056 
■749 24J 

9.749429 
.749615 
.749801 
•749987 
.750 172 

9-75° 358 
■750 543 
.750 719 
■750 9 '4 
.75:099 

975' »84 
-751 469 
■75' 654 
■751 839 
.752023 

9.752 208 
.752 392 
■75*576 
.752 760 
.752944 

9.753128 
■753 3'a 
-753495 
■753 679 
■75386s 

9.754046 
■754 *29 
.754412 
■754 595 
■754 778 

9.754960 
■755 '43 
■755 3*6 
-755 508 
■755690 

9-755 872 
.756054 
■756 236 
.756418 

9.756782 
•756 963 
■757 144 
■757326 
■757 507 

9.757 688 
.757869 
.758050 
•758 !30 
.758411 

9.758 591 



Ooi. 



9.9 iS 574 
.918489 
.918404 
.9'8 3i8 
■918233 

9.918 147 
.91S062 
.917976 
.917891 
.917805 

9.917 719 
.917634 
.917548 
■917462 
.917376 

9.917 190 
.917204 
.917 "8 
.917032 
.916 946 

9.916859 
-9' 6 773 
.916687 

■916514 

9.916427 
.916341 
.916254 
.916 167 
.916081 

9-9 '5 994 
-.915907 
.915 S20 
■9' 5 733 
.915646 

9^9 '5 559 
-915472 
-915 385 
.915 297 
.915 210 

9-9'5 123 
■915035 
.914 948 
.914 S60 
■914773 

9.914685 
■914 598 
.914510 
.914422 
■914 334 

9.914 246 
.914158 



■913894 
9.913806 
■913718 
.913630 



■831 165 
■831 437 

9.831 709 
■831 981 
■832 253 
■832 525 
■83»7f>6 

9.833068 
-833 339 
-833 611 
■833 882 
.834154 

9-834425 
.834696 
.834967 
.835 23S 
■835 5°9 

9.83s 780 
.836051 
.836 322 
■836 593 
.S36864 

9837 134 
■837 405 
-837675 
■837 946 
.S38 216 

9^838487 
■838757 
■839027 
■839 297 
■839 568 

9^839 838 
.S4010S 
.840 378 
.S40 648 
.840917 

9.841 187 
.841 457 
■841 727 
.841996 
.S42266 

9 842 535 
.842 805 
.843074 
■843343 
.843612 

9.843 S82 
.844151 
.844420 
.844689 
.844958 

9.845 227 



4-48 
4.50 



Out. 



.170740 
.170468 
.170 195 
■169923 

0.169651 
■169379 
.169 107 
.168835 
.168563 

0.168291 
.168019 
■167 747 
■167475 

0.166932 

.166661 
.166389 
.166118 
.165 S46 

0.165 575 
.165304 
■'65033 
.164762 
.164491 

0.164230 
-163949 
.163678 
.163407 
.163 136 

0.162866 
.162595 
.162 325 
.162054 
.161 784 

0..6. 5.3 
.161 243 
.160973 
.160703 
.160432 

■159892 
.159622 
-159352 
.159083 

0.158813 
 158543 
■158 273 
.158004 
■'57 734 

0-157465 
■157 195 

■156657 
.156388 
0.156 118 
-155849 
.155580 
155311 
.155042 

°' 54 773 



LOGARITHMIC SINES, 



COSINES, TANGENTS, AND COTANGENTS. 53 
350 



■758 591 ' 
.758 772 
-75895* 
■759 I3» 
■7593" 
■75949* 
■759 672 
■759852 

:7fo2ii 
.760390 
.760569 
.760 74S 
.760927 
.761 106 
.761 28s 
.761 464 
.761641 
.761 S21 
,761999 
.762 177 
.762 356 
.762 534 

! 762 889 

.763067 

■763 345 

.763422 

■763 777 
■763 954 
.764 J3> 
.764308 
.764485 

■764 838 
.765015 
.765 191 
■7&5 367 
.765 544 
.765 720 
.765 896 
.766073 
.766247 
.766 423 
.766598 
.766 774 
.766949 
.767 124 
■767300 
■767475 
.767649 
.767 824 
.767999 
■76S 173 
.768348 
.768522 
.768697 
.768871 
■769045 
•769 3t9 , 



Ooi. 



.913099 
.913010 

9.91292a 
■91*833 
.912 744 
.912655 
.912566 

9.912477 
.91*388 
.912299 
.912210 
.912 121 

9-9'* 031 
.91 1 942 
■911853 
.911763 
.911 674 

9.91 1 584 
■9" 495 
.911 405 



99" '36 

.911046 
.910956 
.910866 
.910 776 
9.910 686 
.910596 
.910506 
.910415 
.910325 



.910054 
.909963 
.909873 
9.909 782 
.909691 

.909510 
.909419 

9.909 328 
.909237 
.909146 
.909055 
.908964 

9.908873 
.908 7B1 



.908049 
9.907958 



Tu, 



.845 227 
■845 496 
.845764 
.846 033 
.846 303 
■846570 
.846 839 
,847 108 
.847 375 
■847 644 
■847913 

" ';i8i 



.849*54 
.849522 
■849790 



- '5^3 
.850 861 
"1 129 

.1396 
.851664 
.851 931 
.852 .99 
.852466 

■8S' 733 
■853001 
.853 268 
■§53 535 
.853 802 
.854069 
■854 336 
,854 603 
.854 87a 
■855 1 3? 
.855 404 
■855 671 
.855 938 
.856204 
.85647' 
■856 737 
.857004 

■857 *70 
■857 537 
.857803 
".8069 
.8336 
8602 



.860464 

.860995 
.861 261 



4.48 
4-47 
4-47 



4-47 
4-45 
4-«5 



4-45 
4-43 

4-43 



0.154 773 
■154504 
.154 236 
■153967 
.153698 

0.153430 
.153161 
 .5=892 
.152624 
.15*356 

■15' 819 
.151551 

■151 *83 
.151014 

0.150746 
.150478 
.150210 
-149943 
■149 675 

0.149 407 
■149 '39 
.148871 
.14S604 
.148336 

-147 534 
.147 267 
-146999 
0.146 731 
,146465 
.1461.^ 
•'45 931 
.145664 

o-MS 397 
.145 130 
.144 863 

.144596 
.144329 

.143796 
■143 5*9 
-«43 263 
.142996 

0.142 730 
.142463 
.14* 197 
.141 931 
.141 664 

0.141 398 



•140334 

0.140068 
.139 802 
-'39536 
.139270 
•139005 



54 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

36° 



O 

z 

a 

3 

4 

5 
6 

7 
8 

9 

lO 

zz 
za 

13 
14 

z6 

17 
z8 

19 

20 

az 
aa 
as 

24 

25 

36 

ay 
a8 

29 

30 

31 
32 
33 
34 

35 
36 
37 
38 

39 
40 

41 
42 
43 
44 

45 
46 

47 
48 

49 

50 

51 
52 

53 
54 

55 
56 

57 
58 

59 

60 



Sin. 



69219 

69393 
69566 

69740 

69913 
0087 
0260 

0433 
0606 

0779 

0952 
I 125 
1298 
1470 

1643 
I 815 
1987 

2159 
2331 
2503 
2675 
2847 
3018 
3190 
3361 

3 533 
3704 

3875 
4046 

4217 

4388 

4558 
4729 

4899 
5070 

5240 
5410 
5580 

5750 
5920 

6090 
6259 
6429 

6598 
6768 

6937 
7 106 

7275 
7444 
7613 
7781 

7950 
8119 

8287 

8455 
8624 
8792 
8960 
9128 

9295 

9463 

O08. 



D. 1". 



2.90 
2.88 
2.90 
2.88 
2.90 

2.88 
2.88 
2.88 
2.88 
2.88 

2.88 
2.88 
2.87 
2.88 
2.87 

2.87 
2.87 
2.87 
2.87 
2.87 

2.87 
2.85 
2.87 
2.85 
2.87 

2.85 
2.85 
2.85 
2.85 
2.85 

2.83 
2.85 
2.83 
2.85 
2.83 

2.8j 
2.83 
2.83 
2.83 
2.83 

2.82 
2.83 
2.82 
2.83 
2.82 

2.82 
2.82 
2.82 
2.82 
2.80 

2.82 
2.82 
2.80 
2.80 
2.82 

2.80 
2.80 
2.80 
2.78 
2.80 

dTT". 



Oos. 



D. 1 



n 



9.907 958 
.907866 

•907 774 
.907 682 

.907590 

9.907 498 
.907406 

•907 3«4 
.907 222 

.907 129 

9-907 037 
.906945 

.906852 

.906 760 

.906667 

9.906 575 
.906482 
.906389 
.906296 
.906204 

9.906 1 1 1 
.906018 
.905 925 
•905 832 
•905 739 

9.905 645 
•905 552 
•905 459 
.905366 
.905 272 

9905 179 
.905 085 

.904992 

.904898 

.904804 

9.904 71 1 
.904617 

•904523 
.904 429 

•904 335 
9.904 241 

.904 147 
•904 053 

•903 959 
.903 864 

9.903 770 
.903 676 
.903 581 

•903 487 
•903 392 
9.903 298 
.903 203 
.903 108 
.903 014 
.902919 

9.902 824 
.902 729 
.902 634 
.902 539 
.902444 

9.90 2 349 
Sin. 



53 
53 
53 
53 
53 

53 
53 
53 
55 
53 

53 
55 
53 
55 
53 

55 
55 
55 
53 
55 

55 
55 
55 
55 
57 

55 
55 
55 
57 
55 

57 
55 
57 
57 
55 

57 
57 
57 
57 
57 

57 
57 
57 
58 

57 

57 
58 
57 
58 
57 

58 
58 

58 
58 

58 
58 
58 
58 



D. 1^ 



Tan. 



9.861 261 
.861 527 
.861 792 
.862 058 
.862 323 

9.862 §89 
.862 854 
.863 1 19 
.863 385 
.863 650 

9.863915 
.864180 
.864445 
.864 710 
.864 975 

9.865 240 
.865 505 
.865 770 
.866 035 
.866300 

9.866564 
.866829 
.867094 
.867 358 
.867 623 

9.867 887 
.868 152 
.868416 
.868 680 
.868 945 

9.869 209 
.869 473 
.869737 
.870 001 
.870 265 

9.870 529 
.870 793 
.871057 
.871 321 
.871 585 

9.871 849 
.872 112 

•872 376 
.872 640 
.872 903 

9.873 167 

•873 430 
.873 694 

•873 957 
.874 220 

9.874 484 
.874 747 
.875010 

•875 273 
•875 537 

9.875 800 
.876 063 
.876 326 
.876 589 
.876 852 

9-877114 
Got. 



D. 1 



tt 



4-43 
442 

4.43 
442 

443 

442 
4.42 

443 
442 
4.42 

4.42 

442 
4.42 

442 
4.42 

4.42 

442 
4.42 

442 
440 

442 
442 
4.40 

442 
4.40 

442 
4.40 

440 
4.42 

440 

440 
440 
440 
440 
4.40 

4.40 
4.40 
4.40 
4.40 
4.40 

438 
4.40 

440 

4.38 
4.40 

4.38 
4.40 

4.38 
4.38 
440 

4.38 
4.38 
4.38 
4.40 

4.38 

4.38 
4.38 
4.38 
4.38 
4-37 

D. 1". 



Got. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



38739 

38473 
38208 

37942 

37677 

37 41 1 
37146 
36881 
36615 

36350 
36085 
35820 

35 555 
35290 
35025 

34760 

34 495 
34230 

33965 
33700 

33436 

33 «7' 
32906 

32642 

32377 

32 113 
31848 

31584 
31 320 
3»055 

30791 

30527 
30263 

29999 
29735 
29471 
29 207 

28943 
28679 

28415 

28 151 
27888 
27624 
27 360 
27097 

26833 
26570 

26306 
26043 
25780 
25516 

25-253 
24990 

24727 
24463 
24 200 

23937 
23674 
23 41 1 
23 148 

22886 
Tan. 



60 

59 
58 
57 
56 

55 
54 
53 
52 
51 
50 

49 
48 

47 
46 

45 
44 
43 
42 

41 
40 
39 
38 
37 
36 

35 
34 
33 
32 

31 

30 

29 
a8 

27 
a6 

25 

24 

23 
aa 

az 

ao 

«9 
z8 

17 
z6 

15 

14 

13 
za 

zz 

ID 

9 
8 

7 
6 

5 

4 

3 

a 

z 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 65 

37° 



K. 


Sin. 


o 9. 


779 463 


I 


779631 


2 


779 798 


3 


779966 
.780 133 


4 


5 9 


780300 


6 


780467 


7 


780634 


8 


780801 


9 


780968 


10 9. 


78*134 


IZ 


781 301 


12 


781468 


13 


781634 


14 


781800 


15 9 


781966 


16 


782 132 


17 


7i;2 298 


z8 


782464 


19 


782630 


20 9. 


782796 


21 


782961 


22 


783 "27 


23 


783 292 


a4 


783 458 


25 9. 


783 623 


26 


783 788 


27 


7$3 953 


28 


784 118 


29 


784282 


30 9 


784447 


31 


784612 


3a 


.784 776 


33 


784941 


34 . 


785 105 


35 9 


785269 


36 


785 433 


37 


785 597 


38 


785 761 


39 


785 925 


40 9 


786089 


4" 


786 252 


4a 


786416 


43 


786 579 


44 


786 742 


45 9 


786906 


46 


787069 


47 


787 232 


48 


787 395 


49 


787 557 


50 9 


787 720 


51 


787 883 


5a 


788045 


53 


788208 


54 


788 370 


55 9 


788 532 


56 


78S 694 


57 


788 856 


5« 


789018 


59 


789180 , 


60 9 


789342 1 




Cob. 



D. 1". 



2.80 
278 
2.80 
278 

278 

278 
278 
278 
278 

277 
278 

278 

277 
277 

277 

277 
277 
277 
277 
277 

275 
277 
275 
277 

275 

275 
275 
275 
273 
275 

2.75 

273 

275 

2.73 
273 

273 
273 
273 
273 
273 
272 

2.73 
272 

2.72 

273 
272 
272 
2.72 
2.70 
2.72 

272 
270 
2.72 
2.70 
270 

2.70 
270 
270 
2.70 
270 

D. 1". 



Got. 



9.902 349 
.902 253 
.902 158 
.902063 
.901967 

9.901 872 
.901 776 
.901 651 
.901 585 
.901 490 

9-90I 394 
.901 298 
.901 202 
.901 106 
.901 010 

9.900 914 
.900818 
.900722 
.900626 
.900529 

9900 433 

•900337 
.900240 

.900 144 

.900047 

9.899951 

.899854 

.899757 
.899660 

.899564 

9.899 467 

.899370 
.899273 
.899176 
.899078 

9.898981 
.898884 
.898 787 
.898689 
.898592 

9.898494 

.898 397 
.898299 
.898202 
.898104 

9.898006 
.897908 
.897 810 
.897712 
.897 614 

9.897516 
.897418 
•897320 
.897 222 
.897 123 

9.897 025 
.896 926 
.896 828 
.8f^ 729 
.896 631 

9.896 532 
Bin. 



D. 1". 



.60 

•58 
.58 
.60 
.58 

.60 

.58 
.60 

.58 
.60 

.60 
.60 
.60 
.60 
.60 

.60 
.60 
.60 
.62 
.60 

.60 
.62 
.60 
.62 
.60 

.62 
.62 
.62 
.60 
.62 

.62 
.62 
.62 

•63 
.62 

.62 
.62 

.63 
.62 

.63 
.62 

.63 
.62 

•63 
•63 

.63 
•63 
•63 
•63 
•63 

-63 

63 

.63 
.65 

-63 
.65 

.63 

•65 
.63 

-65 



// 



D. 1 



52^ 



Tan. 



D. 1". 



9.877 1 14 

•877 377 
.877 640 

•877 903 
^78 165 

9.878428 
.878 691 

•878 953 
.879 216 
.879 478 

9.879 741 
.880003 
.88026 
.88052 
.880790 

9.881 052 
.881 314 
.881 577 
.881 839 
.882 lOI 

9882 363 
.882 625 
.882887 
.883 148 
.883 410 

9.883 672 

.883934 
.884196 

.884457 
.884719 
9.884980 
.885242 
•885 504 

•885 765 
.886026 

9.886288 
.886549 
.886 81 1 
.887 072 

•887 333 
9.887 594 
-887 855 
.888116 
.888378 
.888639 

9.888900 
.889 161 
.889421 
.889682 
.889943 

9.S90204 
.890465 
.890 725 
.890986 
.891 247 

9.891 507 
.891 768 
.892028 
.892289 
.892 549 

9.892810 
Got. 



438 
438 
438 
437 
4.38 

4.38 
437 
438 

4-37 
438 

437 
4^37 
4.38 

4.37 
4-37 

4.37 
4.38 
4.37 
4-37 
4.37 

437 
4.37 
4.35 
4.37 
4.37 

437 
4.37 
4.35 
437 
4-35 

4.37 
4.37 
4.35 
4.35 
4.37 

4.35 
4.37 
4.35 
4-35 
4.35 

4-35 
4.35 
4-37 
4-35 
4-35 

435 
433 
4-35 
4-35 
4-35 

4.35 
4-33 
4.35 
4-35 
433 

4.35 
4-33 
4-35 
433 
4-35 

D. 1". 



Got. 



o. 



o. 



o. 



o. 



o. 



o. 



o. 



22886 
22623 
22360 
22097 
21835 

21572 
21 309 
21 047 
20784 
20522 

20259 

9 997 
9 735 
9472 
9210 

8948 
8686 

8423 
8 161 

7899 

7637 

7 375 

7"3 
6852 

6590 

6328 

6066 

5804 

5 543 
5281 

5020 

4758 
4496 
4235 
3 974 

3 7*2 

3451 
3189 
2928 
2667 

2406 
2145 
1884 
I 622 
I 361 
I 100 
0839 

0579 
0318 
0057 

09796 

09535 
09275 

09014 

08753 
08493 
08 232 
07972 
07 711 
07451 

0.107 190 
Tan. 



o. 



o. 



o. 



o. 



60 

59 
58 
57 
56 

55 
54 
53 
52 
51 

50 

49 
48 

47 
46 

45 



43 
42 
41 
40 
39 
38 
37 
36 

35 

34 

33 
32 

31 
30 
29 
28 
27 
26 

25 
24 
23 

22 
21 

20 

19 
18 

17 
16 

15 

14 

13 
12 

II 

10 

9 
8 

7 
6 

5 

4 

3 

2 

I 



56 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

38° 



O 

z 
a 

3 

4 

5 
6 

7 
8 

9 
xo 
II 

12 

13 

15 
i6 

17 
i8 

19 
ao 
ai 
aa 
as 

a4 

25 
a6 

ay 

a8 

ag 

30 

31 
3a 

33 
34 

35 
36 
37 
38 

39 

40 

41 
4a 

43 
44 

45 
46 

47 
48 

49 

50 

51 
52 

53 
54 

55 
56 
57 
58 

59 
60 



Sin. 



9.789 342 
789 504 
789665 
789 827 
789988 

790149 
790310 
790471 
790632 

790793 
790954 

791 "5 
791 275 

79" 436 
791 596 

791 757 

791 917 

792 077 
792 237 
792 397 

792 557 
792716 

792 876 

793 035 
793 195 

793 354 
793 5 H 
793 673 

793 832 
793991 

794 150 

794 308 

794 467 
794 626 

794 784 

794 942 

795 io» 
795 259 
795417 
795 575 

795 733 
795891 

796 049 

796206 
796 364 

796 521 
796 679 

796 836 

796993 

797 '50 

797 307 

797 464 
797 621 

797 777 

797 934 
798091 
798247 

798 403 
798560 
798 716 

798 872 
O08. 



D. 1". 



2.70 
2.68 
2.70 
2.68 
2.68 

2.68 
2.68 
2.68 
2.68 
2.68 

2.68 
2.67 
2.68 
2.67 
2.68 

2.67 
2.67 
2.67 
2.67 
2.67 

2.65 
2.67 
2.65 
2.67 
2.65 

2.67 
2.65 
2.65 
2.65 
2.65 

2.63 
2.65 
2.65 
2.63 
2.63 

2.65 
2.63 
2.63 
2.63 
2.63 

2.63 
2.63 
2.62 
2.63 
2.62 

2.63 
2.62 
2.62 
2.62 
2.62 

2.62 
2.62 
2.60 
2.62 
2.62 

2.60 
2.60 
2.62 
2.60 
2.60 

D. 1". 



O08. 



9.896 532 
.896 433 
.896 335 
.896 236 
.896 137 

9.896 038 

.895 939 
.895 840 

.895 741 

.895 641 

9.895 542 

.895 443 

.895 343 
.895 244 

.895 145 

9.895 045 

.894 945 
.894 846 

.894 746 

.894646 

9.894 546 
.894446 
.894346 
.894 246 
.894 146 

9.894 046 
.893 946 
.893 846 

•893 745 
•893645 

9893 544 

.893444 

.893 343 

.893 243 
.893 142 

9.893 041 
.892 940 
.892 839 
.892 739 
.892 638 

9.892 536 
•892 435 

.892334 
.892 233 

.892 132 

9.892 030 
.891 929 
.891 827 
.891 726 
.891 624 

9.891 523 
.891 421 
.891 319 
.891 217 

.891 115 
9.891 013 
.890911 
.890809 
.890 707 
.890605 

9.890 503 
8in. 



D. 1". 



.65 

.63 
.65 

.65 

.65 

.65 
.65 

.65 
.67 

.65 

.65 
.67 
.65 

.65 
.67 

.67 

.65 
.67 

.67 

.67 

.67 
.67 
.67 
.67 

•67 
.67 
.67 
.68 
.67 
.68 



.67 
.68 
.68 

.68 
.68 
.67 
.68 
.70 

.68 
.68 
.68 
.68 
.70 

.68 
.70 
.68 

•70 
.68 

•70 
.70 

.70 

.70 

.70 

.70 
.70 
.70 
.70 
.70 



D. 1". 



Tan. 



9.892810 
.893 070 

.893 331 

.893 591 
.893851 

9.894 1 1 1 

.894 372 
.894632 

.894892 

.895 '52 

9.895412 

.895 672 

.895 932 
.896 192 

.896 452 

9.896712 
.896971 

.897 231 
.897 491 

.897751 

9.898010 
.898 270 
.898 530 
.898789 
.899049 

9.899 308 
.899 q68 
.899 827 
.900087 
.900346 

9.900605 
.900864 
.901 124 

.901 383 
.901 642 

9.901 901 
.902 160 
.902 420 
.902 679 
.902 938 

9-903 197 

.903 456 

■903 714 

•903 973 
.904 232 

9.904491 
.904750 
.905008 
.905 267 
.905 526 

9.905 785 
.906 043 

.906 302 

.906560 

.906 819 

9.907 077 

.907 336 

•907 594 

•907 853 
.908 1 1 1 

9.908 369 
Got. 



D. 1". 



4-33 
4.35 
4.33 
4.33 
4-33 

4-35 
4-33 
4.33 
4-33 
4.33 

4.33 
4.33 
4.33 
4.33 
4-33 

4.32 
4.33 
4.33 
4-33 
4.32 

4-33 
4.33 
4.32 

4.33 
432 

4.33 
4.32 
4.33 
432 
4.32 

4-32 
4.33 
432 
432 
432 

4.32 

4.33 
4.32 
432 
4.32 

432 
430 
4.32 
4.32 
4-32 

4-32 
4.30 
4.32 
4.32 
432 

430 
4.32 
4.30 
432 
430 

4-32 
430 
4-32 
4-30 
430 



Got. 



D. 1 



// 



0.107 >90 
06930 
06669 
06409 
06 149 

0.105 889 
05628 
05368 
05 108 
04848 

0.104 588 
04328 
04068 
03808 
03548 

0.103 288 
03029 
02769 
02509 
02249 

o.ioi 990 
01 730 
01 470 

01 211 
00951 

0.100692 
00432 

00173 
.099913 

.099654 

0.099 395 
.099 136 
.098 876 
.09861 
.09835 

0.098 099 
.097840 
.097 580 
.097 321 
.097 062 

0.096 803 
.096 544 
.096 286 
.096 027 
.095 768 

0.095 509 
.095 250 
.094 992 

•094 733 
.094 474 

0.094 215 

.093 957 
.093698 

.093440 

.093 181 

0.092 923 
.092 664 
.092 406 
.092 147 
.091 889 

0.091 631 
Tan. 



60 

59 
58 
57 
56 

55 
54 
53 
52 
51 
50 

49 
48 

47 
46 

45 



43 
42 
41 
40 

39 
38 

37 
36 

35 
34 
33 
32 
31 
30 

29 
a8 

27 
a6 

25 

24 

23 
aa 

ai 

ao 

19 
18 

17 
z6 

15 

14 

13 
la 

II 

10 

9 
8 

7 
6 

5 

4 

3 

a 

I 



61 



o 






LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 67 



Bin. 






9.798 872 


I 


.799 028 


a 


.799 184 


3 


. .799339 


4 


.799 495 


5 


9.799651 


6 


.799806 


7 


.799 962 


8 


.800117 


9 


.800272 


10 


9.800 427 


II 


.800582 


12 


•800737 


13 


.800892 


14 


.801047 


15 


9.801 201 


16 


.801 356 


17 


.801 511 


18 


.801 665 


19 


.801 819 


ao 


9.801 973 


ai 


.802 128 


aa 


.802 282 


as 


.802 436 


24 


.802 589 


as 


9.802 743 


a6 


.802 897 


ay 


.803 050 


a8 


.803204 


ag 


.803 357 


30 


9.803 511 


31 


.803664 


32 


.803817 


33 


.803 970 


34 


.804 123 


35 


9.804 276 


36 


.804 428 


37 


.804581 


38 


■804 734 


39 


.804 886 


40 


9.805 039 


41 


.805 191 


42 


•805343 


43 


.805 495 


44 


.805 647 


45 


9.805 799 


46 


•805951 


47 


.806 103 


48 


.806254 


49 


.806406 


50 


9.806557 


51 


.806709 


52 


.806860 


53 


.807 01 1 


54 


• .807 163 


55 


9.807314 


56 


.807 465 


57 


.807615 


58 


.807766 


59 


.807917 


60 


9.808 067 



008. 



D. 1". 



2.60 
2.60 
2.58 
2.60 
2.60 

2.58 
2.60 
2.58 
2.58 
2.58 

2.58 
2.58 
2.58 
2.58 

2.57 
2.58 
2.58 

2.57 
2.57 
2.57 
2.58 

2.57 
2-57 
2.55 
2-57 
2.57 

2.55 
2.57 
2.55 
2.57 

2-55 
2.55 
2.55 
2.55 
2.55 

2.53 
255 
2-55 
2.53 
2.55 

2.53 
2.53 
253 
2.53 
2.53 

2.53 

2.53 
2.52 

2.53 
2.52 

2.53 
2.52 

2.52 

2.53 
2.52 

2.52 
2.50 
2.52 

2.52 
2.50 

D. 1". 



O08. 



9.890 503' 
.890400 
.890 298 
.890 195 
.890093 

9.889990 
.889888 
.889 785 
.889682 
.889 579 

9.889 477 

.889374 
.889271 

.889 168 

.889064 

9.888 961 
.888 858 
.888 755 
.888651 
.888 548 

9.888444 
.888 341 
.888 237 
.888 134 
.888 030 

9.887 926 
.887 822 
.887 718 
.887 614 
.887510 

9.887 406 
.887302 
.887 198 
.887 093 
.886 989 

9.886 885 
.886780 
.886 676 
.886 571 
.886466 

9.886 362 
.886 257 
.886 152 
.886047 
.885 942 

9.885 837 

•885 732 
.885 627 
.885 522 
.885 416 

9.885 311 
.885 205 
.885 100 
.884 994 
.884 889 

9.884 783 
.884 677 
.884 572 
.884 466 
.884 360 

9884 254 

Sin. 



D. 1". 



72 
70 

72 
70 

72 

70 
72 
72 

72 
70 

72 
72 
72 
73 
72 

72 
72 
73 
72 
73 
72 
73 
72 
73 
73 

73 
73 
73 
73 

n 

73 
73 
75 
73 
73 

75 

75 
75 
73 

75 
75 
75 
75 
75 

75 
75 
75 
77 
75 

77 
75 
77 
75 
77 

77 
75 
77 
77 
77 



D. 1". 

60^ 



Tan. 



9908369 
.908 628 

.908886 

.909144 

.909402 

9.909660 
.909918 



.9 
.9 
•9 

9.9 
•9 
.9 
.9 

.9 

9.9 
.9 
•9 
.9 
9 

9.9 
.9 
.9 
.9 
.9 

9.9 
.9 
.9 
.9 
.9 

9.9 
.9 
.9 
•9 



9-9 
.9 
•9 
•9 
.9 

9.9 

.9 
.9 
.9 
.9 

9-9 



0177 

0435 
0693 

0951 
I 209 
1467 
1725 
1982 

2240 

2498 
2756 

30'4 
3271 

3529 

3787 
4044 

4302 
4560 

4817 

5075 
5332 

5590 
5847 
6 104 
6362 
6619 

6877 
7134 



7391 
7648 

7906 

8163 

8420 

8677 

8934 
9 191 

9448 

9705 

9962 

.920 219 

.920 476 

•920 733 
.920 990 

9.921 247 
.921 503 
.921 760 
.922017 
.922 274 

9.922 530 
.922 787 
.923 044 
.923 300 

.923 557 

9923814 

Got. 



D. 1". 



432 
4.30 
4.30 
4.30 
4.30 

4.30 
4.32 
4.30 
4.30 
430 

430 

4.30 

430 
4.28 

4.30 

4.30 
430 
430 
4.28 

4.30 

430 
4.28 

430 

4-30 
4.28 

430 
4.28 

4.30, 
4.28 

4.28 

430 
4.28 

430 
4.28 

4.28 

4.28 

430 
4.28 

4.28 

4.28 

4.28 
4.28 
4.28 
4.28 
4.28 

4.28 
4.28 
4.28 
4.28 
4.28 

4.27 
4.28 
4.28 
4.28 
4.27 
4.28 
4.28 
4.27 
4.28 
4.28 

D. 1". 



Got. 



0.091 631 
.091 372 
.091 114 
.090856 
.090598 

0.090 340 
.090082 
.089 823 
.089 565 
.089 307 

0.089 049 
.088 791 
.088 533 
.088 275 
.088018 

0.087 760 
.087 502 
.087 244 
.086986 
.086 729 

0.086471 
.086213 
.085 956 
.085 698 
.085 440 

0.085 183 
.084 92^ 
.084 668 
.084 410 
.084 153 

0.083 896 
.083 638 
.083 381 
.083 123 
.082866 

0.082609 
.082352 
.082094 
.081 837 
.081 580 

0.081 323 
.081 066 
.080809 
.080552 
.080 295 

0.080 038 
.079 781 
.079 524 
.079 267 
.079010 

0.078 753 
.078 497 
.078 240 
.077 983 
.077 726 

0.077 470 
.077 213 
.076 956 
.076 700 
.076 443 

0.076 186 
Tan. 



60 

59 
58 

57 
56 

55 
54 
53 
52 

51 

50 

49 
48 

47 
46 

45 
44 
43 
42 

41 
40 

39 
38 

37 
36 

35 

34 
33 
32 
31 
30 

29 
aS 

27 
a6 

25 
24 
23 
aa 
ax 

ao 

19 
18 

17 
16 

15 

14 

13 
la 

XI 

10 

9 
8 

7 
6 

5 

4 

3 

a 

X 



58 LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 

40° 



Sin. 



o 


9.808 067 


X 


.808218 


2 


.808 368 


3 


.808519 


4 


.808 669 


5 


9.808819 


6 


.808969 


7 


.809 119 


8 


.809269 


9 


.809419 


lO 


9.809569 


IX 


.809718 


12 


.809868 


13 


.810017 


M 


.810 167 


15 


9.810 316 


i6 


.810465 


17 


.810614 


i8 


.810 763 


19 


.810912 


20 


9.81 1 061 


21 


.811 210 


22 


.811358 


as 


.81 1 507 


24 


.811 655 


as 


9.81 1 804 


26 


.811952 


27 


.812 100 


28 


.812248 


29 


.812396 


30 


9.812544 


31 


.812692 


32 


.812840 


33 


.812988 


34 


•813 135 


35 


9.813283 


36 


•813 430 


37 


.813578 


38 


.813725 


39 


.813872 


40 


9.814019 


41 


.814 166 


4a 


.814 3>3 


43 


.814460 


44 


.814607 


45 


9.814753 


46 


.814900 


47 


.815046 


48 


•815 193 


49 


.815339 


50 


9.815485 


51 


.815632 


52 


.815778 


53 


.815924 


54 


.816069 


55 


9.816 215 


56 


.816361 


57 


.816507 


58 


.816652 


59 


.816 798 


60 


9.816943 



008. 



D. 1". 



2.52 
2.50 
2.52 
2.50 
2.50 

2.50 
2.50 
2.50 
2.50 
2.50 

2.48 
2.50 
2.48 
2.50 
2.48 

2.48 
2.48 
2.48 
2.48 
2.48 

2.48 
2.47 
2.48 
2.47 
2.48 

2.47 
2.47 
2.47 
2.47 

2.47 

2.47 
2.47 

2.47 

2.45 
2.47 

2.45 
2.47 

245 

2.45 
2.45 

2.45 
2.45 

2.45 
2.45 
2.43 
2.45 

2.43 
2.45 

2.43 
2.43 
2.45 

2.43 

2.43 
2.42 

2.43 

2.43 

2.43 
2.42 

2.43 
2.42 

D. 1". 



O08. 



9.884 254 
.884 148 
.884 042 
.883 936 
.883 829 

9.883 723 
.883617 
.883510 
.883 404 
.883 297 

9.883 191 
.883 084 
.882 977 
.882 871 
.882 764 

9.882 657 
.882 550 
.882 443 
.882 336 
.882 229 

9.882 121 
.882 014 
.881 907 
.881 799 
.881 692 

9.881 584 
.881 477 
.881 369 
.881 261 
.881 153 

9.881 046 
.880 938 
.880 830 
.880 722 
.880613 

9.880 505 
.880397 
.880289 
.880180 
.880 072 

9.879 963 
.879 855 
.879 746 
•879 637 
.879 529 

9.879 420 
.879311 
.879 202 
.879 093 
.878 984 

9.878 875 
.878 766 
.878 656 

.878 547 
.878 438 

9.878 328 
.878219 
.878 109 
.877 999 
.877 890 

9.877 780 
Bin. 



D 1 



tr 



•77 
.77 
•77 
■78 

•77 

•77 
.78 

.77 
.78 

•77 
.78 
.78 

.77 
.78 

.78 

.78 
.78 
.78 
.78 
.80 

.78 

•78 
.80 

.78 
.80 

.78 
.80 
.80 
.80 
.78 

.80 
.80 
.80 
.82 
.80 

.80 
.80 
.82 
.80 
.82 

.80 
.82 
.82 
.80 
.82 

.82 
.82 
.82 
.82 
.82 

.82 

.83 
.82 

.82 

.83 

.82 

.83 

•83 
.82 

.83 



D. V, 



Tan. 



9.923814 
.924 070 
.924 327 

.924 583 
.924 840 

9.925 096 

•925 352 
.925609 

•925 865 
.926 122 

9.926 378 
.926 634 
.926890 
.927 147 

.927 403 

9.927 659 
.927915 
.928 171 
.928 427 
.928 684 

9.928 940 
.929 196 
.929 452 
.929 708 

.929 964 

9.930 220 

.930 475 

•930 731 
.930 987 

.931 243 

9 93» 499 

•93' 755 
.932010 

.932 266 
.932 522 

9.932 778 

.933 033 

.933 289 

.933 545 
.933800 

9.934 056 

934 3" 

.934 567 
.934 822 

■935 078 

9.935 333 

•935 589 

.935 844 
.936 100 

.936 355 

9.936 61 1 
.936 866 
•937 *2i 
.937 377 
•937 632 

9.937 887 
.938 142 
.938 398 
■938 653 
.938 908 

9939 '63 
Cot. 



D. 1". 



4.27 
4.28 

4.27 

4.28 

4.27 

4.27 
4.28 

4.27 

4.28 

4.27 

4.27 
4.27 
4.28 

427 
4.27 

4.27 
4.27 
4.27 
4.28 
4.27 
4.27 

4.27 
4.27 
4.27 
4.27 

4.25 

427 
4.27 

4.27 
4.27 
4.27 
425 
4.27 

4.27 
4.27 

4.25 
4.27 
4.27 

425 
4.27 

425 

4.27 

4.25 

4.27 

4.25 

4.27 

4.25 

4.27 
4.25 

4.27 

4-25 
4.25 
4.27 

4.25 
4-25 

425 
4.27 

4.25 
4.25 
4.25 

D. 1". 



Got. 



0.076 186 

•075 930 

•075 673 

^75417 
.075 160 

0.074 904 
.074 648 

.074 391 

•074 135 
.073 878 

0.073 622 
.073 366 
.073 1 10 
.072 853 
.072 597 

0.072 341 
.072 085 
.071 829 

•07" 573 
.071 316 

0.071 060 
.070 804 
.070 548 
.070 292 
.070 036 

0.069 780 
.069525 
.069269 
.069013 
.068 757 

0.068 501 
.068 245 
.067990 

.0^734 
.067 478 

0.067 222 
.066967 
.066711 
.066 455 
.066200 

0.065 944 
.065689 
.065 433 
.065 178 
.064 922 

0.064 667 
.064411 
.064 156 
.063900 
.063645 

0.063 389 
.063 134 
.062 879 
.062 623 
.062 368 

0.062 113 
.061 858 
.061 602 
.061 347 
.061 092 

0.060 837 
Tan. 



60 

59 
58 

57 
56 

55 
54 
53 
5a 
51 

50 
49 
4« 
47 
46 

45 



43 
4a 
41 

40 
39 
38 
37 
36 

35 
34 
33 
3a 
31 
30 
29 
28 
27 
26 

25 
a4 
23 

22 
21 

20 

19 
18 

17 
16 

15 
14 
13 

12 
II 

10 

9 
8 

7 
6 

5 

4 

3 

2 

X 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 59 
41° 



9.816943 
.817088 
■817233 
.817 379 
■8'7 5»4 

9.S17668 
.817813 
.817958 
.81 S 103 
.818 Z47 

9.818 392 
.818536 
.818M1 
.818825 
.S18969 

9-819 "3 
.819257 
.819401 
.819 HS 
.819 6S9 

9.819 83Z 
.819976 
.810120 

.820406 
9.8 JO 550 

!820 836 

.810979 

.S2I 121 
9.S2I 265 

.831 693 

.821 835 

9-8»i 977 
.822 12a 
.822 262 

.$12 404 
.822 546 

9.822 688 
.822 S30 

.823114 

■823 2SS 
9-823 397 
-823 539 
.823680 
.823821 
.823963 
9.824 104 
.824 245 
.824 386 
.824 527 
.824668 
9.824 808 
.824949 

.825 230 



Ou. 



9.877 780 
.877 670 
.877 560 
.877450 
.877340 

9.877 230 

.877 I20 
.8770.0 
.876 899 
.876789 

9.876 67S 
.876 568 
.876457 
.876347 
.876 236 

9.876 125 
.876014 
-875 904 

.875 793 
.875 6S2 

9.87s 571 
•875 459 
.875 348 
•875 237 
.875 126 

9.875014 
.874903 
.874 79' 
.874680 
.874 568 

9.874 456 
.874344 
.874 232 
.874 121 
.874009 

9.873 896 
■873 784 
.873 672 
.873 560 
.873 448 

9.873 335 
-873 223 
.873"° 
.872 998 
.872 885 

9.872 772 
.872 659 
.872 547 
.872434 
.87232. 

9.872 208 
.87209s 
.871 981 
.871868 
.87' 755 

9.871 641 
.87. 528 
.871 414 
.871 301 
.871 187 

9.871 073 



Tun. 



9-939 163 
.939418 

.939673 
.939928 
.940 183 
9.940 439 
.940694 
.940949 
.941 204 
.941 459 

994' 7 "3 
.941968 
.942 223 
.942 478 
■94a 733 

9.941988 
■943243 
■943498 
■943 752 
.944007 

9.944 262 
■944 5'7 
.944771 
.945 026 
■945 281 

9945 535 
.945790 
.946045 
■946299 
■946554 

9.946 808 
■947063 
■947 3' 8 
■947 572 
■947 827 

9.945 oSi 
■948 335 
.948590 
.948 Sm 
.949099 

9-949 353 
.949608 
.949 862 
.950116 
■950 371 

9.950 625 
.950 879 
■95' '33 
■95' 388 
.951 642 

9.951 896 
■952 '5° 
.952405 
■952 659 
.952913 

9953 '67 
■953421 
■953675 
■953929 
■954 183 

9^954 437 I 



.060582 
.060327 

.059817 
0.059 561 
.059 306 
.059 05 1 
.058 796 
.058 541 
0058 287 
.058 032 
■057 777 

.057 522 

■057267 
0.057012 
.056 757 

■05s 993 
©■055 738 
.05s 483 
.055 229 
■054974 
.054719 
0,054465 

.054 2JO 
•05395s 
.053 701 
,053446 

0.053 192 
■052937 
.052 682 
.052 428 
.052 173 

0.051 919 

.051 4:0 
■051 '56 

0.050647 
.050392 
.050138 
^^9884 
.049 629 

0.049 375 
.049 121 
.048 S67 
.048612 
.048358 

ox>48 104 
,047 850 
■047595 
.047341 
.047087 

0.046833 
.046 579 
,046 325 

.045817 
0.045 563 



In. 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 
42° 



9.815511 
^zj 651 
.835 791 
.8»S 931 
.836071 

9.826 21 1 
|^35[ 

.S26631 
.826 770 
9.826910 
.827049 
.827 189 
.827 328 
.827 467 

9.827 606 

■SIS 

.828 023 
.828 162 
9.S28 301 

.828 439 
.828 578 
.828 716 
.828 855 

9.828 993 
.829 131 

.829407 
■829 545 

9,829683 
.829821 
.829959 
.830097 
.830 234 

9830 37* 
.830 509 
.830646 
.830784 
.830921 

9.831 05S 
.831 19s 
.83  33' 
.831 469 
.831-606 

9.831 7., 
.831 879 
.832 or - 
.832 1. 
.8322! 

9.832 425 
.832 56' 
.832 697 
■832833 
.832969 

9-833 10s 
.833 241 
•833 377 
■833 512 
.833 648 

9833783 
Oo). 



9.871 073 
.870960 
.870 S46 
.870 731 
.870618 

9.870 504 
.870390 

1870047 

9-869 933 
.869 SiS 
.869704 
.869589 

.869474 
9.869360 
.869245 
.869130 

.869015 
.868900 

9,868 785 
.868670 
.868555 
.868440 
.868 324 

9.86S209 
.868093 
.867 978 
.S67 862 
.867 747 

9.867 631 
.867515 
.867399 
.867283 
.867 167 

9.867 051 
■866935 
.866819 
.866703 
.866 5S6 

9.866470 
•866353 
.866 237 
.866120 
.866004 

9.865 887 
.865 770 
.865 653 
-865 536 
.865 419 

9.S65 302 
.S65 185 
.865068 
■S64950 
-864 833 

9.864716 
.864 598 
.S64481 
.864 363 
.864 245 

■I-864 127 



9-954437 
.954691 
■954 946 
.955200 
-955454 

9.955708 
-955 961 
.956 215 
.956469 
.956723 

9-95^977 
■957 '31 
■957485 
■957 739 
■957993 

9,958 247 
958500 
-958 754 
.959008 
.959 262 

9.959516 
-959 769 

,960 277 
.960530 
9.960 784 
.961038 

■961 545 
.961799 
9.962051 
.962306 

.9&»8i3 
.963067 

9.963 3» 
.963 574 
.963828 
.964 oSi 
■964335 

9.964 588 
.964842 
■965 095 
-965349 

9-965 855 

.966616 
.966869 

9.967 123 
.967 376 
.967 629 
.967 883 
.968 136 

9.968 389 
.968 643 
.968 896 
.969 149 
.969 403 

9.969 656 



4-23 

4-22 
4-»3 



4-'3 
4,22 

4.'3 
4-23 



LOGARITHMIC SINES, COSINES, TANGENTS, AND COTANGENTS. 61 



o 
z 

a 

3 

4 

5 
6 

7 
8 

9 
10 

II 
12 

13 
14 

15 
16 

17 
18 

19 
ao 
ai 
aa 

33 

^4 

as 
a6 

a7 

a8 

29 

30 

31 
3a 

33 
34 

35 
36 
37 
38 
39 
40 
41 
4a 
43 
44 

45 
46 
47 
48 
49 
50 
51 
5a 
53 
54 

55 
56 
57 
58 
59 
60 



Sin. 



9.833 783 

.833919 
.834054 

.834189 
.834 325 

9.834 460 
•834 595 
•834 730 
.834 865 

.834999 

9.835 134 
.835 269 
.835 403 
.835 538 
.835 672 

9.835 807 

•835 941 
.836 075 

.836209 
.836 343 

9.836 477 
.836611 

•836 745 
.836878 
.837 012 

9.837 146 

•837 279 
.837412 

.837 546 
■837 679 

9837 812 

.837 945 
.838078 

.838211 
.838344 

9838 477 
.838 610 
.838 742 
.838 875 
.839007 

9.839 140 
.839 272 

.839 404 
.839 536 
.839668 

9.839 800 

.839 932 
.840064 
.840 196 
.840 328 

9.840 459 
.840 591 
.840 722 
.840 8^4 
.840 985 

9.841 116 
.841 247 
.841 378 
.841 509 
.841 640 

9-841 77' 

OOB. 



D. 1". 



2.27 
2.25 
2.25 
2.27 
2.25 

2.25 
2.25 
2.25 
2.23 
2.25 

2.25 
2.23 
2.25 
2.23 
2.25 

2.23 
2.23 
2.23 
2.23 
2.23 

2,23 
2.23 
2.22 
2.23 
2.23 

2.22 
2.22 
2.23 
2.22 
2.22 

2.22. 

2.22 

2.22 

2.22 

2.22 

2.22 
2.20 
2.22 
2.20 
2.22 

2.20 
2.20 
2.20 
2.20 
2.20 

2.20 
2.20 
2.20 
2.20 
2.18 

2.20 
2.18 
2.20 
2.18 
2.18 

2.18 
2.18 
2.18 
2.18 
2.18 



OoB. 



9.864 127 
.864010 
.863 892 
.863 774 
.863 656 

9.863 538 
.863419 
.863301 
.863 183 
.863064 

9.862 946 
.862 827 
.862 709 
.862 590 
.862471 

9862 353 
.862 234 
.862 115 
.861 996 
.861 877 

9.861 758 
.861 638 
.861 519 
.861 400 
.861 280 

9.861 161 
.861 041 
.860 922 
.860802 
.860682 

9.860 562 
.860442 
.860 322 
.860202 
.860082 

9.859 962 
.859 842 
.859 721 
.859 601 
.859480 

9.859 360 

•859 239 
.859 1 19 

.858 998 

.858 877 

9.858 756 
•858 635 
.858514 

.858 393 
.858 272 

9.858 151 
.858 029 
.857 908 
.857 786 
.857 665 

9.857 543 
.857 422 

.857 300 

.857 178 

.857056 

9856 934 
Bin. 



D. 1". 



.95 
.97 
.97 
.97 
.97 
.98 

•97 

•97 
.98 

•97 
.98 

.97 
.98 

.98 

.97 

.98 

•98 
.98 

.98 

.98 

2.00 

.98 

.98 

2.00 

.98 

2.00 
.98 
2.00 
2.00 
2.00 

2.00 
2.00 
2.00 
2.00 
2.00 

2.00 
2.02 
2.00 
2.02 
2.00 

2.02 
2.00 
2.02 
2.02 
2.02 

2.02 
2.02 
2.02 
2.02 
2.02 

2.03 
2.02 
2.03 
2.02 
2.03 

2.02 
2.03 
2.03 
2.03 
2.03 



// 



D. 1 



460 



Tan. 



9.969 656 
.969909 
.970 162 
.970416 
.970669 

9.970 922 

.971 »75 
.971 429 

.971 682 

.97 > 935 
9.972 188 

.972 44> 
.972 695 

.972 948 
.973 201 

9-973 454 
•973 707 
•973 960 

.974 213 
.974 466 

9.974 720 

•974 973 
.975 226 

•975 479 
.975 732 

9.975 985 
 .976238 

.976 491 

.976 744 

.976 997 

9.977 250 

.977 503 

.977 756 
.978009 

.978 262 

9.978515 
.978 768 
.979 021 

•979 274 
•979 527 

9-979 780 
.980 033 
.980 286 
.980 538 
.980 791 

9.981 044 
.981 297 
.981 550 
.981 803 
.982 056 

9.982 309 
.982 562 
.982 814 
.983 067 
.983 320 

9.983 573 
.983 826 

.984 079 
.984 332 
.984 584 

9984 837 
Got. 



D. 1". 



4.22 
4.22 

4.23 
4.22 
4.22 

4.22 

4.23 
4.22 

4.22 

4.22 

4.22 

4.23 
4.22 

4.22 

4.22 

4.22 
4.22 
4.22 
4.22 

4.23 
4.22 
4.22 
4.22 
4.22 
4.22 

4.22 
4.22 
4.22 
4.22 
4.22 

4.22 
4.22 
4.22 

4.22 
4.22 

4.22 
4.22 
4.22 
4.22 
4.22 

4.22 
4.22 
4.20 
4.22 
4.22 

4.22 
4.22 
4.22 
4.22 
4.22 

4.22 
4.20 
4.22 
4.22 
4.22 

4.22 
4.22 
4.22 
4.20 
4.22 

D. 1". 



Got. 



0.030 344 
.030091 
.029 838 
.029584 
.029 331 

0.029 078 
.028 825 
.028 571 
.028 318 
.028 065 

0.027812 
.027 559 
.027 305 
.027 052 
.026 799 

0.026 546 
.026 293 
.026 040 
.025 787 
•025 534 

0.025 280 
.025 027 
.024 774 
.024 521 
.024268 

0.024015 
.023 762 
.023 509 
.023 256 
.023 003 

0.022 750 
.022 497 
.022244 
.021 991 
.021 738 

0.021 485 
.021 232 
.020 979 
.020 726 
.020 473 

0.020 220 
.019967 
.019714 
.019462 
.019 209 

0.018956 
.018 703 
.018450 
.018 197 
.017944 

0.017 691 
.017438 
.017 186 
.016933 
.016 680 

0.016427 
.016 174 
.015 921 
.015668 
.015416 

0.015 '63 

Tan. 



60 

59 
58 
57 
56 

55 
54 
53 
52 
51 
50 

49 

48 

47 
46 

45 
44 
43 
42 
41 
40 

39 
38 

37 
36 

35 

34 

33 

32 

31 

30 

29 
a8 

27 
26 

25 
24 
23 

22 

21 

20 

19 
18 

17 
Z6 

15 

14 

13 
12 

II 

ID 

9 

8 

7 
6 

5 

4 

3 

a 

I 



LOGAEITHMIC SINES, COSINE^ TANGENTS, AND COTANGENTS. 
440 



K. 


Bta. 1 D. 1". 


Ooi, 


D. 1". 


Tu. 


D. 1", 


Dot 


1 





9.841 771 


18 


9.856934 




9-984837 




0^015 163 


60 ' 




.841 90Z * 






856812 




.985090 




.014910 


59 




■842033 t 


12 




856690 




.985343 


4.22 


•0.4657 


58 


3 


.842 163 I 




856568 


2.03 


.985596 
.9S5848 


4.22 


X114404 


57 


4 


.841 194 2^ 






856446 


1.03 


4.20 

4.22 


.0.4152 


5« 


5 


9.a42 4l4 , 




9 


856 3^3 




9.986 .01 


0.0.3899 


53 


S 


f,m I 






85620. 




-986354 


4-22 


/513646 


54 


7 






856078 


a-os 


.986 65J 


4.22 


-0.3 393 


53 


8 


.842815 * 


:i 




855 956 


2.03 


.986860 


4.22 


.0.3 .40 


5a 


9 


.842946 I 




855 833 


2.05 


.987-1 12 


4.22 


.012888 


5' 




9.843076 




9 


855711 




%ll% 


0.012635 


5° 




.843206 ^ 






85s 588 


2.05 


4.22 


.01238! 


49 




■843 336 I 


'7 




855465 


3.05 


.98787. 


4.22 


.0.2.29 


48 


13 


.843466 J 






■855342 




.988 123 




X...877 


47 


14 


■843595 * 


'5 




855 219 


2.05 


.988376 


4.22 


x>..624 


46 


15 


9-843 7'5 , 




9 


855096 




9.988 629 


0.01 1 371 


45 


16 


■843 8SS i 
.843 9S4 I 


'7 




854 973 


2.05 


.^882 


4.22 


.011 lis 


44 


17 






854 850 




.989134 




JD10866 


43 


18 


.844114 ^ 






854 727 




.989387 




.0.06.3 


43 


■9 

30 


■844 *43 I 
9-844 37a , 


'5 
'5 


9 


854603 

854480 


2.05 


.9S9640 
9.9S9 893 


4.22 

4-22 


.0.0 36S 
0.0.0 .07 


41 
40 




.844502 I 


•5 




854 356 




•990.45 
.990398 




.00985s 


39 




.84463. * 




854 233 






.009602 


38 


83 


■|«jS° 2 






854109 




-99065. 


4-22 


-009349 


37 


M 


.844889 ^ 






853986 




.990903 


4.12 


■009097 


36 


as 


9.845018 




9 


853862 




9,99. .56 


0.008844 


35 


ae 


-845 "47 I 






853738 




■99.409 




.008591 


34 


a? 


Ms =76 ' 






853 614 




.991 662 




.008338 


33 


as 


■845 405 Z 


•5 
13 
15 
'3 
'5 
•3 




853490 


2.07 


.991914 


4.20 


.008086 


33 


ag 


-845 533 I 




853366 


2.07 


.992 167 


4.22 
4.22 


-007833 


31 


30 


9.845662 


9 


853242 




9.992420 


0.007580 


30 


3» 


-84s 790 ^ 




|53i«8 


2.07 


.992 672 


4.20 
4.22 


.007328 


39 


3» 


.845919 I 




852994 


l'^ 


.992925 


.007075 


38 


33 


.846047 ' 




852869 




■993 '78 


4.22 


.006 8i2 


"7 


34 


.846.75 I 


'3 
»S 




852 745 


2:^ 


■993431 


4-22 

4.30 


.006569 


36 


3S 


9^846304 , 


9 


852610 




9-993 683 


0006317 


35 


36 


.846432 ^ 






852496 


2.08 


-993 936 


4.32 


.006064 


a4 


37 


.846 560 : 


'3 
>3 
13 




85237' 


.994.89 


4.22 


.0058.. 


33 


3S 


.846688 * 




852247 


2^ 


.994441 


4.20 


.005559 




39 


.846816 I 




852.22 


2.08 


■994694 


4.22 


.005306 




40 


9.846944 




9 


85.997 




9.994947 


oj»5 053 




41 


.84707' I 


13 
'3 




85. 872 


2.08 


.995199 




.004801 




4a 


.847 199 , 




85 ' 747 


-995 452 


4.22 
4.22 
4.20 
4-22 


.004548 




43 


■8473^7 I 




85.622 




■995705 


.004295 




44 


■847 454 I 


13 




85' 497 


2!o8 


■995 957 


«H'H3 




45 


9.847582 I 


9 


85' 372 




9.996 210 


0.003790 




46 


.847 709 I 

-847 M * 
.847964 I 






8S'246 




.996463 




.003 537 




S 


13 




851 12. 

850996 


2^08 


.996715 
.996968 


t^ 


.003285 
.003032 




49 


,848091 ^ 






850870 


2^08 


■997 "' 


t» 


.002 779 




50 


9.S48 iiS 




,9 


850 745 




9-997 473 


0.002 527 




SI 


.848345 






550 6.9 




■997 726 


4-22 


.002 274 




5a 


.848 472 ^ 






850 493 


2:^ 


■997 979 
.998231 








53 


■f^fw ' 






8^0368 




!oo. 769 




54 


.848 726 ^ 






850242 




.998484 


4.22 


.00. ^.6 




55 


9.848 852 




9 


850116 




9 998 737 




0.001 263 




56 


■848979 , 






849990 




■998989 


4.20 






57 


.849 106 I 






849864 




.999241 


4.22 


X100758 




58 


■849 232 , 






849738 




■999 495 








59 


■849 359 , 






8496.. 




■999 747 


4.20 
4.22 


.000253 




60 


9.849485 




9 


849485 










Cm. 1 D, 1". 


8iD. 


D. 1". 


Cot. 


D. 1". 


Tu. 


-•1 



A TABLE 



OF THE 



NATURAL SINES, COSINES, TANGENTS, 

AND COTANGENTS, 



FOR EVERY 



DEGREE AND MINUTE FROM 0° TO QOf. 



64 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

OR lo 2P 



M. 


Bin. Ooi. Tan. Got. 


Bin. Ooi. Tan. Got. 


Bin. Got. Tan. Got. 




o 


.00000 1.0000 .00000 00 


.01745 .99985 .01746 57.290 


.03490 .99939 .03492 28.636 


60 


I 


029 000 029 3437-7 


774 984 775 56.351 
803 984 804 55.442 


519 938 521 .399 


59 


a 


058 000 058 1 718.9 
087 000 087 1 145.9 


548 937 550 .'66 


58 


3 


832 983 833 54.561 


577 936 579 27.937 


57 


4 


116 000 116859.44 


862 983 862 53.709 


606 935 609 .712 


56 


5 


.00145 1.0000 .00145 687.55 


.01891 .99982 .01891 52.882 


•03635 -99934 .03638 27490 


55 


6 


175 000 175 572.96 


920 982 920 .081 


664 933 667 .271 


54 


7 


204 000 204 491. II 


949 981 949 51.303 


693 932 696 x>57 


53 


8 


233 000 233 42972 


978 980 978 50.549 


723 93' 725 26.845 


52 


9 


262 000 262 381.97 


.02007 980 .02007 49.: h 6 


752 930 754 .637 


51 


lO 


.00291 1.0000 .00291 343.77 


.02036 .99979 .02036 49.104 


.03781 .99929 03783 26432 


50 


II 


320.99999 320312.52 


065 979 06648.412 


810 927 812 .230 


49 


12 


349 999 349 28648 


094 978 095 47.740 


839 926 842 .031 


48 


13 


378 999 378 26444 


123 977 124 .085 


868 925 871 25.835 


47 


14 


407 999 407 245.55 


'52 977 '53 46449 


897 924 900 .642 


46 


15 


.00436 .99999 .00436 229.18 


x)2i8i .99976 .02182 45.829 


.03926 .99923 .03929 25452 


45 


i6 


465 999 465 214.86 


211 976 211 .226 


955 922 958 .264 
984 921 987 .080 


44 


17 


495 999 495 202.22 


240 975 240 44.639 


43 


i8 


524 999 524 190.98 


269 974 269 .066 


.04013 919 .04016 24.898 


42 


19 


553 998 553 180.93 


298 974 298 43-508 


042 918 046 .719 


41 


ao 


.00582 .99998 .00582 171.89 


.02327 .99973 .02328 42.964 


.04071 .99917 .04075 24.542 


40 


21 


611 998 611 163.70 


356 972 357 -433 
385 972 38641.916 


100 916 104 .368 


39 


aa 


640 998 640 156.26 


'29 9'5 133 .'96 


38 


23 


669 998 669 14947 


414 971 415 .411 


159 913 162 .026 


37 


24 


698 998 698 143-24 


443 970 44440.917 


188 912 191 23.859 


36 


25 


.00727 .99997 .00727 137.51 


.02472 .99969 .02473 40436 


.04217 .99911 .04220 23.695 


35 


a6 


756 997 756 132.22 
785 997 785 127.32 
814 997 815 122.77 


501 969 502 39.965 


246 910 250 .532 


34 


2? 


530 968 531 .506 


275 909 279 .372 


33 


a8 


560 967 560 .057 


304 907 308 .214 


32 


29 


844 996 844118.54 


589 966 589 38.618 


333 906 337 058 


31 


30 


.00873 99996 .00873 1 14.59 


.02618 .99966 J02619 38.188 


.04362 .99905 .04366 22.904 


30 


31 


902 996 902 110.59 


647 965 648 37.769 


39' 904 395 -752 


29 


32 


931 996 93» 10743 


676 964 677 .358 


420 902 424 .602 


2& 


33 


9^ 995 9^ 104.17 


705 963 706 36.956 


449 901 454 454 
478 900 483 .308 


27 


34 


989 995 989 loi.ii 


734 963 735 -563 


26 


35 


.01018 .99995 .01018 98.218 


.02763 .99962 .02764 36.178 


•04507 .99898 .04512 22.164 


25 


36 


047 995 047 95489 


792 961 793 35801 
821 960 822 431 


536 897 541 .022 


24 


37 


076 994 076 92.908 


565 896 570 21.881 


23 


38 


105 994 105 90463 


850 959 851 .070 


594 894 599 -743 


23 


39 


134 994 135 88.144 


879 959 881 34.715 


623 893 628 .606 


21 


40 


.01164 .99993 .01164 85.940 


.02908 .99958 .02910 34.368 


.04653 .99892 .04658 21470 
682 890 687 .337 


ao 


41 


193 993 193 83.844 


938 957 939 .027 


19 


42 


222 993 222 81.847 


967 956 968 33.694 


711 889 716 .205 


18 


43 


251 992 251 79.943 
280 992 280 78.126 


996 955 997 366 


740 888 745 .075 


17 


44 


.03025 954 .03026 .045 


769 886 774 20.946 


16 


45 


.01309 .99991 .01309 76.390 


-03054 .99953 -03055 32.730 
083 952 084 .421 


.04798 .99885 .04803 20.819 
827 883 833 .693 


15 


46 


338 991 338 74729 


14 


47 


367 991 367 73.139 


112 952 114 .118 


856 882 862 .569 
885 881 891 446 


13 


48 


396 990 396 71.615 


141 951 143 31.821 


la 


49 


425 990 425 70.153 


170 950 172 .528 


914 879 920 .325 


II 


50 


.01454 .99989 .01455 68.750 
483 989 484 67.402 


.03199 .99949 .03201 31.242 


.04943 99878 .04949 20.206 


10 


51 


228 948 230 30.960 


972 876 978 .087 


9 


52 


513 989 513 66.105 


257 947 259 .683 


.05001 875 .05007 19.970 


8 


53 


542 988 542 64.858 


286 946 288 412 


030 873 037 .855 


7 


54 


571 988 571 63.657 


3'6 945 3'7 .'45 


059 872 066 .740 


6 


55 


.01600 .99987 .01600 62499 


.03345 -99944 .03346 29.882 


.05088 .99870 .05095 19.627 


5 


56 


629 987 629 61.383 


374 943 376 .624 


117 869 124 .516 


4 


57 


658 986 658 60.306 
687 986 687 59.266 


403 942 405 .371 


146 867 153 405 
175 866 182 .296 


3 


58 


432 94' 434 .'22 


a 


59 


716 985 716 58.261 


461 940 463 28.877 


205 864 212 .188 


I 


60 


.01745 .99985 .01746 57-290 


.03490 .9^939 .03492 28.636 


■05234 99863 .05241 19.081 







O08. Sin. Got. Tan. 


G08. Bin. Got. Tan. 


Gos. Bin. Got. Tan. 


M. 



89° 



88P 



87° 



NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 65 

30 40 50 



M. 



Sin. Gob. Tan. Oct. 


Sin. Ooi. Tan. dot. 


Sin. G08. Tan. Got. 


60 


.05234 .99863 .05241 19.081 


.06976 .99756 .06993 14.301 


.08716 .99619 .08749 11.430 


X 


263 861 270 18.976 


•07005 754 .07022 .241 


745 617 778 .392 


59 


a 


292 860 299 .871 


034 752 051 .182 


774 614 807 .354 


58 


3 


321 858 328 .768 


063 750 080 .124 


803 612 837 .316 


57 


4 


350 857 357 -666 


092 748 110 .065 


831 609 806 .279 


56 


5 


.05379 99855 -05387 18-564 


.07121 .99746 .07139 14.00S 


.08860 .99607 .08895 11.242 


55 


6 


• 408 854 416 .464 


150 744 168 13.951 


889 604 925 .205 


54 


7 


437 852 445 .366 


179 742 197 .894 


918 602 9U .168 


53 


8 


466 851 474 .268 


208 740 227 .838 


947 599 983 -^2 


52 


9 


495 849 503 .171 


237 738 256 .782 


976 596 .09013 .095 


51 


10 


.05524 .99847 .05533 18.075 


.07266 .99736 .07285 13.727 


-09005 .99594 .09042 11.059 


50 


zz 


553 846 562 17.980 
582 844 591 .886 


295 734 314 .672 


034 59" 071 .024 


49 


za 


324 731 344 .617 


063 588 101 10.988 


48 


13 


611 842 620 .793 


353 729 373 .563 


092 586 130 .953 


47 


14 


640 841 649 .702 


382 727 402 .510 


121 583 159 .9«8 


46 


15 


.05669 .99839 .05678 17.611 


.07411 .99725 07431 13457 


.09150 .99580 .09189 10.883 


45 


z6 


698 838 708 .521 


440 723 461 .404 


179 578 218 .848 


44 


17 


727 836 737 431 


469 721 490 .352 


208 575 247 .814 


43 


z8 


756 834 766 .343 


498 719 519 .300 


237 572 277 .780 


42 


19 


785 833 795 .256 


527 716 548 .248 


266 570 306 .746 


41 


ao 


.05814 .99831 .05824 17.169 


•07556.99714-07578 13-197 


.09295 .99567 -09335 '0.712 


40 


az 


844 829 854 .084 


585 712 607 .146 


324 564 365 .678 


39 


aa 


873 827 883 16.999 


614 710 636 .096 


353 562 394 .645 


38 


23 


902 826 912 .915 


643 708 665 .046 


382 559 423 .612 


37 


24 


931 824 941 .832 


672 705 695 12.996 


4" 556 453 .579 


36 


25 


.05960 .99822 .05970 16.750 


.07701 .99703 .07724 12.947 


.09440 .99553 .09482 10.546 


35 


a6 


989 821 999 .668 


730 701 753 .898 


469 551 5" •5'4 


34 


27 


.06018 819 .06029 -587 


759 699 782 .850 


498 548 541 481 


33 


a8 


047 817 058 .507 
076 815 087 .428 


788 696 812 .801 
817 694 841 .754 


527 545 570 449 


32 


29 


556 542 600 .417 


31 


30 


.06105 -99813 .06116 16.350 


.07846 .99692 .07870 12.706 


•09585 -99540 .09629 10.385 


30 


31 


134 812 145 .272 


875 689 899 .659 


614 537 658 .354 
642 534 688 .322 


29 


32 


163 810 175 .195 


904 687 929 .612 


28 


33 


192 808 204 .119 


933 685 958 .566 


671 531 717 -291 


27 


34 


221 806 233 .043 


962 683 987 .520 


700 528 746 .260 


a6 


35 


.06250 .99804 .06262 15.969 


.07991 .99680 .08017 12474 


.09729 .99526 .09776 10.229 


25 


36 


279 803 291 .895 


.08020 678 046 .429 


758 523 805 .199 


24 


37 


308 801 321 .821 


049 676 075 .384 


787 520 834 .168 


23 


38 


337 799 350 .748 


078 673 104 .339 


816 517 864 .138 


aa 


39 


366 797 379 .676 


107 671 134 .295 


845 5H 893 .108 


az 


40 


.06395 .99795 .06408 15.605 


.08136 .99668 .08163 12.251 


.09874 .995" .09923 10.078 


ao 


41 


424 793 438 .534 


165 666 192 .207 


903 508 952 .048 


19 


42 


453 792 467 464 
482 790 496 .394 

511 788 525 .325 


194 664 221 .163 


932 506 981 .019 


z8 


43 
44 


223 661 2<i .120 
252 659 280 .077 


961 503.100119.9893 
990 500 040 .9601 


«7 
z6 


45 


.06540 .99786 .06554 15.257 
569 784 584 .189 


.08281 .99657 .08309 12.035 


.10019 .99497 .10069 9.9310 


15 


46 


310 654 339 "992 


048 494 099 .9021 


14 


47 


598 782 613 .122 


339 652 368 .950 


077 491 128 .8734 


13 


48 


627 780 642 .056 


368 649 397 .909 


106 488 158 .8448 


za 


49 


656 778 671 14.990 


397 647 427 .867 


135 485 187 .8164 


zz 


50 


x>6685 .99776 .06700 14.924 


.08426 .99644 .08456 11.826 


.10164 .99482 .10216 9.7882 


zo 


51 


7H 774 730 .860 


455 642 485 .785 
484 639 514 .745 


192 479 246 .7601 


9 


52 


743 772 759 .795 


221 476 275 .7322 


8 


53 


773 770 788 .732 
802 768 817 .669 


513 637 544 .705 


250 473 305 .7044 


7 


54 


542 635 573 .664 


279 470 334 .6768 


6 


55 


.06831 .99766 .06847 14-606 


.08571 .99632 .08602 11.625 


.10308 .99467 .10363 9.6493 


5 


56 


860 764 876 .544 


600 630 632 .585 


337 464 393 .6220 


4 


57 


889 762 905 .482 


629 627 661 .546 


366 461 422 .5949 


3 


58 


918 760 934 421 


658 625 690 .507 
687 622 720 .468 


395 458 452 .5679 


a 


59 


947 758 963 .361 


424 455 481 54" 


z 


60 


.06976 .99756 .06993 H.301 


.08716 .99619 .08749 11.430 


•10453 99452 .10510 9.5144 





OoB. Sin. Oct. Tan. 


Oca. Sin. Got. Tan. 


G08. Sin. Got. Tan. 


M. 



86° 



86< 



84' 



66 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

5c 70 OP 



M. 



Sin. O08. Tan. Oct. 


Sin. O08. Tan. Oct. 


Sin. Goa. Tan. Got. 




•10453 -99452 .10510 9.5144 


.12187 -99255 .12278 8.1443 


.13917.99027 .140547.1154 
946 023 084 .1004 


60 


I 


482 449 540 4878 


216 251 308 .1248 


59 


a 


511 446 569 .4614 


245 248 338 .1054 


975 019 113 .0855 


5« 


3 


540 443 599 .4352 


274 244 367 .0860 


.14004 015 143 .0706 


57 


4 


569 440 628 .4090 


302 240 397 .0667 


033 on 173 .0558 


56 


5 


.10597 .99437 •«o657 9.3831 


.12331 .99237 .12426 8.0476 


.14061 .99006 .14202 7.0410 


55 


6 


626 434 687 .3572 


360 233 456 .0285 


090 002 232 .0264 


54 


7 


655 431 7*6 .3315 
684 428 746 .3060 


389 230 485 .0095 


119.98998 262 .0117 


53 


8 


418 226 515 7.9906 


148 994 291 6.9972 


52 


9 


713 424 775 .2806 


447 222 544 .9718 


"77 990 321 -9827 


51 


10 


.10742 .99421 .10805 92553 


.12476.99219.125747.9530 


.14205 .98986 -14351 6.9682 
234 982 381 .9538 


50 


II 


771 418 834 .2302 


504 215 603 .9344 


49 


la 


800 415 863 .2052 


533 211 633 .9158 


263 978 410 .9395 


48 


13 


829 412 893 .1803 


562 208 662 .8973 


292 973 440 .9252 


47 


14 


858 409 922 .1555 


591 204 692 .8789 


320 969 470 .9110 


46 


15 


.10887 .99406 .10952 9.1309 


.12620 .99200 .12722 7.8606 


.14349 .98965 .14499 6.8969 


45 


16 


916 402 981 .1065 


649 «97 75 « -8424 


378 961 529 .8828 


44 


17 


945 399 -1 10 II .0821 


678 193 781 .8243 


407 957 559 -8687 


43 


18 


973 396 040 .0579 


706 189 810 .8062 


436 953 588 .8548 
464 948 618 .8408 


42 


19 


.11002 393 070 .0338 


735. 186 840 .7882 


41 


ao 


.11031 .99390 .11099 9.0098 


.12764 .99182 .12869 7.7704 


.14493 .98944 .14648 6.8269 


40 


ai 


060 386 1288.9860 


793 178 899 .7525 


522 940 678 .8131 


39 


aa 


089 383 158 .9623 


822 175 929 .7348 


551 936 707 .7994 
580 931 737 -7856 


38 


23 


118 380 187 .9387 


851 171 958 .7171 
880 167 988 .6996 


37 


24 


147 377 217 .9152 


608 927 767 .7720 


36 


25 


.11176 .99374 .11246 8.8919 


.12908 .99163 .13017 7.6821 


.14637 .98923 .14796 6.7584 


35 


a6 


205 370 276 .8686 


937 160 047 .6647 


666 919 826 .7448 


34 


27 


234 367 305 .8455 


966 156 076 .6473 


695 914 856 .7313 
723 910 886 .7179 


33 


28 


263 364 335 .8225 


995 152 106 .6301 


32 


29 


291 360 364 .7996 


.13024 148 136 .6129 


752 906 915 .7045 


31 


30 


."320 .99357 "394 8.7769 


.13053 -99144 •I3«65 7-5958 


.14781 .98902 .14945 6-^12 
810 897 975 .6779 


30 


31 


349 354 423 .7542 


081 141 195 -5787 


29 


32 


378 351 452 .7317 


no 137 224 .5618 


838 893 .15005 .6646 


a8 


33 


407 347 4^2 .7093 


139 ^33 254 .5449 


867 889 034 .6514 


27 


34 


436 344 511 .6870 


168 129 284 .5281 


896 884 064 .6383 


a6 


35 


.11465 .99341 .11541 8.6648 


.13197 .99125 .133137.5113 


.14925 .98880 .15094 6.6252 


25 


36 


494 337 570 .6427 


226 122 343 .4947 


954 876 124 .6122 
982 871 153 .5992 


24 


37 


523 334 600 .6208 


254 118 372 .4781 


23 


38 


552 331 629 .5989 
580 327 659 .5772 


283 114 402 .4615 


.15011 867 183 .5863 


aa 


39 


312 no 432 4451 


040 863 213 .5734 


ai 


40 


.11609 .99324 .11688 8.5555 


.13341 .99106 .13461 7.4287 


.15069 .98858 .15243 6.5606 


ao 


41 


638 320 718 .5340 


370 102 491 4124 


097 854 272 .5478 


19 


42 


667 3»7 747 •5'26 


399 098 521 .3962 


126 849 302 .5350 


18 


43 


696 314 777 4913 


427 094 550 .3800 
456 091 580 .3639 


155 845 332 .5223 
184 841 362 .5097 


17 


44 


725 310 806 .4701 


16 


45 


.11754 .99307 .11836 8.4490 


-13485 .99087 .13609 7.3479 


.15212 .98836 .15391 64971 


15 


46 


783 303 865 .4280 


514 083 639 .3319 


241 832 421 4846 


14 


47 


812 300 895 .4071 


543 079 669 .3160 


270 827 451 4721 


13 


48 


840 297 924 .3863 


572 075 698 .3002 


299 823 481 .4596 


la 


49 


869 293 954 .3656 


600 071 728 .2844 


327 818 511 .4472 


II 


50 


.11898 .99290 .11983 8.3450 


.13629 .99067 .13758 7.2687 


.15356 .98814 .15540 6.4348 


10 


51 


927 286 .12013 .3245 


658 063 787 .2531 


385 809 570 .4225 


9 


52 


956 283 042 .3041 


687 059 817 .2375 


414 805 600 4103 


8 


53 


985 279 072 .2838 


716 055 846 .2220 


442 800 630 .3980 


7 


54 


.12014 276 loi .2636 


744 051 876 .2066 


471 796 660 .3859 


6 


55 


.12043 .99272 .12131 8.2434 


•13773 .99047 -13906 7.1912 


.15500.98791 .156896.3737 


5 


56 


071 269 160 .2234 


802 043 935 .1759 


529 787 719 .3617 


4 


57 


100 265 190 .2035 


831 039 965 .1607 


557 782 749 .3496 


3 


58 


129 262 219 .1837 


860 035 995 .1455 


586 778 779 .3376 


a 


59 


158 258 249 .1640 


889 031 .14024 .1304 


615 773 809 .3257 


I 


60 


.12187 .99255 .12278 8.1443 


.13917 .99027 .140547.1154 


.15643.98769 .158386.3138 





G08. Sin. Oct. Tan. 


Gob. Sin. Got. Tan. 


Gob. Sin. Got. Tan. 



83° 



82- 



8P 



NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 
90 100 IP 



67 



M. 



Sin. Ooa. Tan. Got. 


Sin. Ooi. Tan. Got. 


Sin. O08. Tan. Got. 


• 

60 


.15643 .98769 .15838 6.3138 


.17365 .98481 .17633 5.6713 


.19081 .98163 .19438 5.1446 


z 


672 764 868 .3019 


393 476 663 .6617 


lOQ 157 468 .1366 
138 152 498 .1286 


59 


a 


701 760 898 .2901 


422 471 693 .6521 


58 


3 


730 755 928 .2783 


451 466 723 .6425 


167 146 529 .1207 


57 


4 


758 75' 958 .2666 


479 461 753 6329 


'95 '40 559 .1128 


56 


5 


.15787 .98746 .15988 6.2549 


.17508 .98455 -'7783 5-6234 


.19224 .98135 .19589 5-'049 


55 


6 


816 741 .16017 .2432 


537 450 813 .6140 


252 129 619 .0970 


54 


7 


845 737 047 2316 


565 445 843 .6045 


251 124 649 .0892 


53 


8 


873 732 077 .2200 


594 440 873 .5951 


309 118 680 .0814 


52 


9 


902 728 107 .2085 


623 435 903 .5857 


338 112 710 .0736 


51 


10 


.15931 .98723 .16137 6.1970 


.17651 .98430 -"7933 5-5764 
680 425 963 .5671 


.19366 .98107 .19740 5.0658 


50 


zz 


9J9 718 167 .1856 
988 714 196 .1742 


395 'oi 770 .0581 


49 


za 


708 420 993 .5578 


423 096 801 .0504 


48 


13 


.16017 709 226 .1628 


737 414.18023 .5485 


452 090 831 .0427 


47 


14 


046 704 256 .1515 


766 409 053 .5393 


481 084 861 .0350 


46 


15 


.16074 .98700 .16286 6.1402 


.17794 .98404 .18083 5-5301 


.19509 .98079 .19891 5.0273 


45 


z6 


103 695 316 .1290 


823 399 "3 5209 


538 073  921 .0197 


44 


17 


132 690 346 .1178 


852 394 143 -5 "8 
880 389 173 .5026 


566 067 952 .0121 
595 061 982 .0045 


43 


z8 


160 686 376 .1066 


42 


19 


189 681 405 .0955 


909 383 203 .4936 


623 056 .20012 4.9969 


41 


ao 


.16218 .98676 .16435 6.0844 


-17937 -98378 .18233 5-4845 


.19652 .98050 .20042 4.9894 
680 044 073 .9819 


40 


az 


246 671 465 .0734 


966 373 263 .4755 


39 


aa 


275 667 495 .0624 


995 368 293 .4665 


709 039 103 .9744 


38 


■«3 


304 662 525 .0514 


.18023 362 323 .4575 


737 033 133 .9669 


37 


34 


333 657 555 .0405 


052 357 353 -4486 


766 027 164 .9594 


36 


as 


.16361 .98652 .16585 6.0296 


.18081 .98352 .18384 5.4397 


.19794 .98021 .20194 4.9520 


35 


a6 


390 648 615 .0188 


109 347 414 .4308 


823 016 224 .9446 


34 


ay 


419 643 645 .0080 


138 341 444 ^.219 


851 010 254 .9372 
880 004 285 .9298 


33 


as 


447 638 674 5.9972 


166 336 474 .4131 


32 


ag 


476 633 704 .9865 


195 33' 504 -4043 


908.97998 3'5 -9225 


31 


30 


.16505 .98629 .16734 5.9758 


.18224 .98325 .18534 5-3955 


-'9937 -97992 .20345 4.9152 


30 


31 


533 624 764 .9651 


252. 320 564 .3868 


965 987 376 .9078 


- 29 


32 


562 619 794 .9545 


281 3'5 594 -378' 


994 981 406 .9006 


28 


33 


591 614 824 .9439 


309 310 624 .3694 


.20022 975 436 .8933 


27 


34 


620 609 854 .9333 


338 304 654 .3607 


051 969 466 .8860 


26 


35 


.16648 .98604 .16884 5.9228 


.18367 .98299 .18684 5.3521 


.20079 .97963 .20497 48788 


25 


36 


677 600 914 .9124 


395 294 714 .3435 


108 958 527 .8716 


24 


37 


706 595 944 .9019 


424 288 745 .3349 


'36 952 557 -8644 


23 


38 


734 590 974 .8915 


452 283 775 .3263 


165 946 588 .8573 


33 


39 


763 585.17004 .8811 


481 277 805 .3178 


'93 940 618 .8501 


31 


40 


.16792 .98580 .17033 5.8708 


.18509 .98272 .18835 53093 


.20222 .97934 .20648 4.8430 


30 


41 


820 575 063 .8605 


538 267 865 .3008 


250 928 679 .8359 


19 


4* 


849 570 093 .8502 


567 261 895 .2924 


279 922 709 .8288 


z8 


43 


878 565 123 .8400 


595 256 925 .2839 


307 916 739 .8218 


'7 


44 


906 561 153 .8298 


624 250 955 .2755 


336 910 770 .8147 


z6 


45 


.16935 -98556 .i7»83 5-8>97 


.18652 .98245 .18986 5.2672 


.20364 .97905 .2o£kx> 4.8077 


'5 


46 


964 55' 213 .8095 


681 240 .19016 .2588 


393 899 830 .8007 


14 


47 


992 546 243 .7994 


710 234 046 .2505 


421 893 861 .7937 


13 


48 


.17021 541 273 .7894 


738 229 076 .2422 


450 887 891 .7867 


za 


49 


050 536 303 -7794 


767 223 106 .2339 


478 881 921 .7798 


zz 


50 


.17078.98531 .173335-7694 


.18795 .98218 .19136 5.2257 


•20507 .97875 .20952 4.7729 


10 


51 


107 526 363 .7594 


824 212 166 .2174 


535 869 982 .7659 


9 


5a 


'36 521 393 -7495 


852 207 197 .2092 


563 863.21013 .7591 


8 


53 


164 516 423 .7396 


881 201 227 .2011 


592 857 043 .7522 


7 


54 


193 5" 453 .7297 


910 196 257 .1929 


620 851 073 .7453 


6 


55 


.17222 .98506 .17483 5.7'99 


.18938 .98190 .19287 5.1848 


.20649 .97845 .21104 4.7385 


5 


56 


250 501 513 .7101 


967 185 3'7 -'767 


677 839 134 .7317 


4 


57 


279 496 543 7004 


995 '79 347 -'686 


706 833 164 .7249 


3 


58 


308 491 573 .6906 


.19024 174 378 .1606 


734 827 195 .7181 


3 


59 


336 486 603 .6809 


052 168 408 .1526 


763 821 225 .7114 


z 


60 


.'7365 .98481 .17633 5-6713 


.19081 .98163 .19438 5.1446 


.20791 .97815 .21256 4.7046 



M. 


Cos. Sin. Got. Tan. 


Gob. Sin. Got. Tan. 


Gob. Sin. Got. Tan. 



80° 



79- 



783 



68 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

12^ 130 14° 



K. 



Sin. O08. Tan. Oct. 


Bin. O08. Tan. Oot. 


Sin. O08. Tan. Oot. 




.20791 .97815 .212564.7046 
820 809 286 .6979 


.22495 .97437 .23087 4.3315 


.24192 .97030 .24933 4.0108 


60 


z 


523 430 117 .3257 
552 424 148 .3200 
580 417 179 .3143 


220 023 964 .0058 


59 


a 


848 803 316 .6912 


249 015 995 .0009 


58 


3 


877 797 347 -6845 


277 008 .25026 3.9959 


57 


4 


905 791 377 -6779 


608 411 209 .3086 


305 001 056 .9910 


56 


5 


.20933 -97784 .21408 4.6712 


.22637 -97404 23240 4.3029 


-24333 -96994 -25087 3.9861 
362 987 118 .9812 


55 


6 


962 778 438 .6646 


665 398 271 .2972 


54 


7 


990 772 469 .6580 


693 39' 301 .2916 


390 980 149 .9763 


53 


8 


.21019 766 499 .6514 


722 384 332 .2859 


418 973 180 .9714 


52 


9 


047 760 529 .6448 


750 378 363 -2803 


446 966 211 .9665 


51 


zo 


.21076 .97754 .21560 4.6382 


•22778 .97371 .23393 4.2747 
807 365 424 .2691 
835 358 455 -2635 


-24474 .96959 -25242 3-96" 7 


50 


zz 


104 748 590 .6317 


503 952 273 .9568 


49 


za 


132 742 621 .62^2 


531 945 304 -9520 


48 


13 


*6i 735 651 .6187 


863 351 485 .2580 


559 937 335 -947* 


47 


14 


189 729 682 .6122 


892 345 . 5>6 .2524 


587 930 366 .9423 


46 


15 


.21218 .97723 .21712 4«6o57 


.22920 .97338 .23547 4.2468 


.24615 .96923 .25397 3.9375 
644 916 428 .9327 


45 


z6 


246 717 743 .5993 


948 33^ 578 .2413 


44 


17 


275 7" 773 .5928 


977 325 608 .2358 


672 909 459 .9279 


43 


z8 


303 705 804 .5864 


.23005 318 639 .2303 


700 902 490 .9232 


42 


19 


331 698 834 .5800 


033 3" 670 .2248 


728 894 521 .9184 


41 


ao 


.21360 .97692 .21864 4*5736 


.23062 .97304 .23700 4.2193 


.24756 .96887 .25552 3.9136 
784 880 583 .9089 
813 873 614 .9042 


40 


az 


388 686 895 .5673 


090 298 731 .2139 


39 


aa 


417 680 925 .5609 


118 291 762 .2084 


38 


23 


445 673 956 .5546 


146 284 793 .2030 


841 866 645 .8995 


37 


24 


474 667 986 .5483 


175 278 823 .1976 


869 858 676 .8947 


36 


25 


.21502 .97661 .22017 45420 


•23203 .97271 .238544.1922 


.24897 .96851 .25707 3.8900 
925 844 738 .8854 


35 


a6 


530 655 047 .5357 


231 264 885 .1868 


34 


27 


559 648 078 .5294 


260 257 916 .1814 


954 837 769 .8807 
982 829 800 .8760 


33 


as 


587 642 108 .5232 


288 251 946 .1760 


32 


29 


616 636 Z39 .5169 


316 244 977 .1706 


.25010 822 831 .8714 


31 


30 


.21644 .97630 .22169 4.5107 


.23345 -97237 .24008 4.1653 


.25038 .96815 .25862 3.8667 


30 


31 


672 623 200 .5045 


373 230 039 .1600 


066 807 893 .8621 


29 


32 


701 617 231 .4983 


401 223 069 .1547 


094 800 924 .8575 


aS 


33 


729 611 261 4922 


429 217 100 .1493 


122 793 955 .8528 


27 


34 


758 604 292 4860 


458 210 131 .1441 


151 786 986 .8482 


a6 


35 


.21786 .97598 .22322 44799 


.23486 .97203 .24x62 4.1388 


.25179 .96778 .26017 3.8436 


25 


36 


814 592 353 4737 


514 196 193 .1335 


207 771 048 .8391 


24 


37 


843 585 383 4676 


542 189 223 .1282 


235 764 079 .8345 


23 


38 


871 579 414 4615 


571 182 254 .1230 


263 756 no .8299 


aa 


39 


899 573 444 4555 


599 176 285 .1178 


291 749 141 .8254 


az 


40 


.21928 .97566 .22475 4*4494 


.23627 .97169 .24316 4. 1 1 26 


.25320 .96742 .26172 3.8208 


ao 


41 


956 560 505 .4434 


656 162 347 .1074 


348 734 203 .8163 


19 


42 


985 553 536 .4373 


684 155 377 •>022 


376 727 235 .8118 


z8 


43 


.22013 547 567 .4313 


712 148 408 .0970 


404 719 266 .8073 


17 


44 


041 541 597 4253 


740 141 439 .0918 


432 712 297 .8028 


z6 


45 


.22070 .97534 .22628 4.4194 


.23769 .97134 .24470 4.0867 


.25460 .96705 .26328 3.7983 


15 


46 


098 528 6j8 4134 


797 127 501 .0815 


488 697 359 .7938 


14 


47 


126 521 689 .4075 


825 120 532 .0764 


516 690 390 .7893 


13 


48 


155 515 7>9 4015 
183 508 750 .3956 


853 "3 562 .0713 


545 682 421 .7848 


za 


49 


802 106 593 .0662 


573 675 452 .7804 


zz 


50 


.22212 .97502 .22781 4.3897 


.23910 .97100 .24624 4.061 1 


.25601 .96667 .26483 3.7760 


zo 


51 


240 496 811 .3838 


938 093 655 .0560 


629 660 515 .7715 


9 


52 


268 489 842 .3779 


966 086 686 .0509 


657 653 546 .7671 

685 645 577 7627 
713 638 608 .7583 


8 


53 


297 483 872 .3721 


995 079 717 .0459 


7 


54 


325 476 903 .3662 


.24023 072 747 .0408 


6 


55 


•22353 97470 .22934 4.3604 
382 463 964 .3546 


.24051 .97065 .247784.0358 


.25741 .96630 .26639 3.7539 


5 


56 


079 058 809 .0308 


769 . '623 670 .7495 


4 


57 


410 457 995 .3488 


108 051 840 .0257 


798 615 701 .7451 
826 608 733 .7408 


3 


58 


438 450 .23026 .3430 


136 044 871 .0207 


a 


59 


467 444 056 .3372 


164 037 902 .0158 


854 600 764 .7364 


z 


60 


.22495 -97437 -23087 4-33«5 


.24192 .97030 .24933 4-0108 


.25882 .96593 .26795 3.7321 





O08. Sin. Oot. Tan. 


Cos. Sin. Oot. Tan. 


O08. Sin. Oot. Tan. 


M. 



770 



76^ 



750 



NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 69 
16° 16° 17° 



M. 

o 


Sin. Oos. Tan. Oct. 


Sin. Oos. Tan. Oot. 


Sin. Oos. Tan. Oot. 


60 


.25882 .96593 -26795 3.7321 
910 585 826 .7277 


.27564 .96126 .28675 3-4874 


•29237 95630 .30573 3-2709 


I 


592 118 706 4836 


265 622 605 .2675 


59 


a 


938 578 857 .7234 
966 570 888 .7191 


620 no 738 .4798 


293 613 637 .2641 


58 


3 


648 102 769 .4760 


321 605 669 .2607 


57 


4 


994 562 920 .7148 


676 094 801 4722 


348 596 700 .2573 


56 


5 


.26022 .96555 .26951 3-7 "05 


.27704 .96086 .28832 3.4684 


•29376 .95588 .30732 3-2539 


55 


6 


050 547 982 .7062 


731 078 864 .4646 


404 579 764 .2506 


54 


7 


079 540 .27013 .7019 


759 070 895 .4608 


432 571 796 .2472 


53 


8 


107 532 044 .6976 


787 062 927 4570 
815 054 958 .4533 


460 562 828 .2438 


52 


9 


135 524 076 .6933 


487 554 860 .2405 


51 


lO 


.26163 -96517 .27107 3.6891 


.27843 .96046 .28990 3.4495 


•29515 -95545 -30891 3.2371 


50 


xz 


191 509 138 .6848 


871 037.29021 4458 


543 536 923 -2338 


49 


la 


219 502 169 .6806 


899 029 053 .4420 


571 528 955 -2305 


48 


13 


247 494 201 .6764 


927 021 084 .4383 


599 519 987 2272 


47 


14 


275 486 232 ,6722 


955 013 116 .4346 


626 511 .31019 .2238 


46 


15 


.26303 .96479 .27263 3.6680 


.27983 .96005 .29147 3.4308 
.28011 .95997 179 4271 


.29654 .95502 .31051 3-2205 
682 493 083 .2172 


45 


i6 


331 471 294 .6638 


44 


17 


359 463 326 .6596 
387 456 357 -6554 


039 989 210 .4234 


710 485 . 115 .2139 


43 


zS 


067 981 242 .4197 


737 476 147 .2106 


42 


19 


415 448 388 .6512 


095 972 274 4160 


765 467 178 .2073 


41 


ao 


.26443 -96440 .27419 3-6470 


.28123 .95964 -29305 3-4124 


.29793 -95459 .31210 3.2041 
821 450 242 .2008 


40 


ai 


471 433 451 .6429 


150 956 337 -4087 


39 


aa 


500 425 482 .6387 


178 948 368 .4050 


849 441 274 .1975 


38 


23 


528 417 513 .6346 


206 940 400 .4014 


876 433 306 .1943 


37 


24 


556 410 545 .6305 


234 931 432 .3977 


904 424 ssS .1910 


36 


25 


.26584 .96402 .27576 3.6264 


.28262 .95923 .29463 3.3941 


.29932 .95415 .31370 3.1878 


35 


a6 


612 394 607 .6222 
640 386 638 .6181 


290 915 495 -3904 


960 407 402 .1845 


34 


27 


318 ^907 526 .3868 


987 398 434 .1813 


33 


aS 


668 379 670 .6140 


346 898 558 .3832 


.30015 389 466 .1780 


32 


29 


696 371 701 .6100 


374 890 590 .3796 


043 380 498 .1748 


31 


30 


.26724 .96363 .27732 3.6059 


.28402 .95882 .29621 3.3759 


.30071 .95372.315303.1716 


30 


31 


752 355 764 .6018 
780 347 795 5978 


429 874 653 .3723 


098 363 562 .1684 


29 


32 


457 865 685 .3687 


126 354 594 .1652 


a8 


33 


808 340 826 .5937 


485 857 716 .3652 


154 345 626 .1620 
182 337 658 .1588 


27 


34 


836 332 858 .5897 


513 849 748 .3616 


a6 


35 


.26864 .96324 .27889 3.5856 


.28541 .95841 .29780 3.3580 


.30209 .95328 .31690 3.1556 


25 


36 


892 316 921 .5816 


569 832 811 .3544 


237 3>9 722 .1524 


24 


37 


920 308 952 .5776 


597 824 843 .3509 


265 310 754 -1492 
292 301 786 .1460 
320 293 818 .1429 


23- 


38 


948 301 983 .5736 


625 816 875 .3473 


aa 


39 


976 293 .28015 .5696 


652 807 906 .3438 


ai 


40 


.27004 .96285 .28046 3.5656 


.28680 .95799 .29938 3.3402 


.30348 .95284 .31850 3-1397 


ao 


41 


032 277 077 .5616 


708 791 970 .3367 


376 275 882 .1366 


19 


42 


060 269 109 •.5576 


736 782.30001 .3332 


403 266 914 .1334 


18 


43 


088 261 140 .5536 


764 774 033 .3297 


431 257 946 .1303 
459 248 978 .1271 


17 


44 


116 253^ 172 .5497 


792 766 065 .3261 


z6 


45 


.27144 .96246 .28203 3.5457 


.28820 .95757 -30097 3-3226 


.30486 .95240 .32010 3.1240 


15 


46 


172 238 234 .5418 


847 749 128 .3191 


514 231 042 .1209 


14 


47 


200 230 266 .5379 


875 740 160 .3156 


542 222 074 .1178 


13 


48 


228 222 297 .5339 


903 732 192 .3122 


570 213 106 .1146 


za 


49 


256 214 329 .5300 


931 724 224 .3087 


597 204 139 .1115 


zz 


50 


.27284 .96206 .28360 3.5261 


•28959 -95715 30255 3-3052 


.30625 .95195 .32171 3.1084 


zo 


51 


312 198 391 .5222 


987 707 287 .3017 


653 186 203 .1053 
680 177 235 .1022 


9 


52 


340 190 423 .5183 


.29015 698 319 .2983 


8 


53 


368 182 454 .5144 


042 690 351 .2948 


708 168 267 .0991 


7 


54 


396 174 486 .5105 


070 681 302 .2914 


736 159 299 .0961 


6 


55 


.27424 .96166 .28517 3.5067 


.29098 .95673 -30414 3-2879 


.30763 .95150 .32331 3.0930 


5 


56 


452 158 549 .5028 
480 150 580 .4989 


126 664 446 .2845 


791 142 363 .0899 


4 


57 


154 656 478 .2811 


819 133 396 .0868 


3 


58 


508 142 612 .4951 


182 647 509 .2777 


846 124 428 .0838 


a 


59 


536 134 643 .4912 


209 639 541 .2743 


874 115 460 .0807 


z 


do 


.27564 .96126 .28675 34874 


.29237 -95630 .30573 3.2709 


.30902 .95106 .32492 3.0777 



M. 


Oos. Sin. Oot. Tan. 


Oos. Sin. Oot. Tan. 


Oos. Sin. Oot. Tan. 



740 



73° 



72° 



70 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

183 190 200 



M. 



Sin. Ooi. Tan. Got. 


Sin. Ooi. Tan. Oot. 


Sin. Gos. Tan. Got. 




.30902 .95106 .32492 3.0777 


•32557 .94552 .34433 2.9042 
584 542 465 .9015 


.34202 .93969 .36397 2.7475 


60 


z 


929 097 524 .0746 


229 959 430 .7450 


59 


a 


957 088 556 .0716 
985 079 588 .0686 


612 533 498 .8987 


257 949 463 .7425 


58 


3 


639 523 530 .8960 


284 939 496 .7400 


57 


4 


.31012 070 621 .0655 


667 514 563 .8933 


311 929 529 .7376 


56 


5 


.31040 .95061 .32653 3.0625 


.32694 .94504 .34596 2.8905 


.34339 -93919 .36562 2.7351 


55 


6 


068 052 685 .0595 


722 495 628 .8878 


366 909 595 .7326 
393 899 628 .7302 


54 


7 


095 043 717 .0565 


749 485 661 .8851 


53 


8 


123 033 749 .0535 


777 476 693 .8824 
804 466 726 .8797 


421 889 66t .7277 


52 


9 


151 024 782 .0505 


448 879 694 .7253 


51 


zo 


.31178 .95015 .32814 3.0475 


.32832 .94457 .34758 2.8770 


.34475 93869 .36727 2.7228 


50 


ZI 


206 006 846 .0445 


859 447 791 .8743 
887 438 824 .8716 


503 859 760 .7204 


49 


Z2 


233.94997 878 .0415 


530 849 793 •7«79 


48 


13 


261 988 911 .0385 


914 428 856 .8689 
942 418 889 .8662 


557 839 826 .7155 
584 829 859 .7130 


47 


14 


289 979 943 .0356 


46 


«5 


.313^6 .94970 .32975 3.0326 


.32969 .94409 .34922 2.8636 


.34612 .93819 .36892 2.7106 


45 


z6 


344 961 .33007 .0296 


997 399 954 .8609 
.33024 390 987 .8582 


639 809 925 .7082 
666 799 958 .7058 


44 


17 


372 952 040 .0267 


43 


z8 


399 943 072 .0237 


051 380.35020 .8556 


694 789 991 7034 


42 


19 


427 933 104 .0208 


079 370 052 .8529 


721 779^37024 .7009 


4X 


ao 


.3^54 .94924 .33 "36 3.0178 


.33106 .94361 .3508c 2.8502 
134 351 118 .8476 


.34748 .93769 .37057 2.6985 


40 


az 


482 915 169 .0149 


775 759 090 .6961 
,803 748 123 .6937 


39 


aa 


510 906 201 .0120 


161 342 150 .8449 


38 


23 


537 897 233 .0090 


189 332 183 .8423 


830 738 157 .69" 3 


37 


24 


565 888 266 .0061 


216 322 216 .8397 


857 728 190 .6889 


36 


25 


.31593 94878 .33298 30032 


•33244 .94313 .35248 2.8370 


.34884 .937' 8 .37223 2.6865 


35 


a6 


620 869 330 .0003 


271 303 281 .8344 


912 708 2^6 .6841 
939 698 289 .6818 


34 


27 


648 860 363 2.9974 


298 293 314 .8318 


33 


a8 


675 851 395 .9945 


326 284 346 .8291 


966 688 322 .6794 


32 1 


29 


703 842 427 .9916 


353 274 379 .8265 


993 677 355 .6770 


31 


30 


.3*730 .94832 .33460 2.9887 


.33381 .94264 .35412 2.8239 


.35021 .93667 .37388 2.6746 


30 


31 


758 823 492 .9858 
786 814 524 .9829 
813 805 557 .9800 


408 254 445 .8213 


048 657 422 .6723 


29 


32 


436 245 477 .8187 


075 647 455 .6699 
102 637 488 .6675 


aS 


33 


463 235 510 .8161 


27 


34 


841 795 589 .9772 


490 225 543 .8135 


130 626 521 .6652 


a6 


35 


.31868 .94786 .33621 2.9743 


.33518 .94215 .35576 2.8109 


•35*57 .93616 .37554 2.6628 
184 606 588 .6605 


25 


36 


896 777 654 .9714 


545 206 608 .8083 


24 


37 


923 768 686 .9686 


573 196 641 .8057 


211 596 621 .6581 


23 


38 


951 758 718 .9657 


600 186 674 .8032 


239 585 654 .6558 
266 575 687 .6534 


aa 


39 


979 749 75 » .9629 


627 176 707 .8006 


az 


40 


.32006 .94740 .33783 2,9600 


.33655 .94167 .35740 2.7980 


.35293.93565-377202.6511 


ao 


41 


034 730 816 .9572 


682 157 772 .7955 
710 147 805 .7929 


320 555 754 .6488 


19 


42 


061 721 848 .9544 


347 544 787 .6464 
375 534 8ao .6441 


z8 


43 


089 712 881 .9515 


737 »37 838 .7903 


*7 


44 


116 702 913 .9487 


764 127 871 .7878 


402 524 853 .6418 


z6 


45 


.32144 .94693 .33945 2.9459 


.33792.94118.359042.7852 


•35429 .935*4 .37887 2.6395 


15 


46 


171 684 978 .9431 


819 108 937 .7827 


456 503 920 .6371 
484 493 953 .6348 


• 

14 


47 


199 674.34010 .9403 


846 098 969 .7801 


13 


48 


227 665 043 .9375 


874 088 .36002 .7776 


511 483 986 .6325 


za 


49 


254 656 075 .9347 


901 078 035 .7751 


538 472.38020 .6302 


zz 


50 


.32282 .94646 .34108 2.9319 


.33929 .94068 .36068 2.7725 


.35565 .93462 .38053 2.6279 


zo 


51 


309 637 140 .9291 


956 058 loi .7700 


592 452 086 .6256 


9 


52 


337 627 173 .9263 


983 049 134 .7675 


619 441 120 .6233 


8 


53 


364 618 205 .9235 


.34011 039 167 .7650 


647 43* *53 .6210 


7 


54 


392 609 238 .9208 


038 029 199 .7625 


674 420 186 .6187 


6 


55 


.32419 .94599 .34270 2.9180 


•34065 .94019 .36232 2.7600 


.3570* 934*0 .38220 2.6165 


5 


56 


447 590 303 .9152 


093 009 265 .7575 


728 400 253 .6142 


4 


57 


474 580 335 .9125 


120.93999 298 .7550 


755 389 286 .6119 


3 


58 


502 571 368 .9097 


H7 989 331 .7525 


782 379 320 .6096 


a 


59 


529 561 400 .9070 


»75 979 364 .7500 


810 368 353 .6074 


z 


60 


■32557 .94552 .34433 2.9042 


.34202 .93969 .36397 2.7475 


.35837 93358 .38386 2.6051 





Oos. Sin. Oct. Tan. 


O08. Sin. Got. Tan. 


Gob. Sin. Got. Tan. 


M. 



71 



o 



70° 



69° 



NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 
21° 



71 



M. 


SiB. Om. Tan. Got 


Sin. Om. Tan. Got 


Sin. Om. Taa. Got 


60 


o 


.35837 •9335« -38386 2.6051 


.37461 .92718 40403 24751 


.39073 .92050 42447 2,3559 


z 


864 348 420 .6028 


488 707 436 4730 


loo 039 482 .3539 


59 


a 


89* 337 453 .6006 
918 327 487 .5983 


515 697 470 4709 


127 028 516 .3530 


58 


3 


542 686 504 4689 


»53 016 551 .3501 
180 005 585 .3483 


57 


4 


945 3»6 520 .5961 


569 675 538 4668 


56 


5 


•35973 -93306 .38553 2.5938 


•37595 .92664 40572 24648 


.39207 .91994 42619 2.3464 


55 


6 


.36000 295 587 .5916 


622 653 606 4627 


234 982 654 .3445 
260 971 688 .3426 


54 


7 


027 285 620 .5893 


649 642 640 4606 


53 


8 


054 274 654 .5871 
081 264 687 .5848 


676 631 674 4586 


287 959 722 .3407 


5* 


9 


703 6ao 707 4566 


314 948 757 3388 


51 


lO 


.36108 .93253 .38721 2.5826 


.37730 .92609 40741 24545 


•39341 .91936 42791 2.3369 


50 


11 


>35 243 754 .5804 


757 598 775 4525 
784 587 809 4504 


367 925 826 .3351 


49 


xa 


162 232 787 .5782 


394 914 860 .3332 


48 


13 


190 222 821 .5759 


811 576 843 4484 


421 902 894 .3313 


47 


14 


217 211 854 .5737 


838 565 877 4464 


448 891 929 .3294 


46 


15 


.36244 .93201 .38888 2.5715 


•37865 .92554 4091 1 24443 


.39474 .91879 42963 2.3276 


45 


z6 


271 190 921 .5693 


892 543 945 4423 


501 868 998 .3257 


44 


17 


298 180 955 .5671 


919 532 979 4403 


528 85643032 .3238 


43 


i8 


325 169 988 .5649 


946 521 .41013 4383 


555 845 067 .3220 
581 833 101 .3201 


42 


19 


352 159.39022 .5627 


973 5"o 047 4362 


41 


ao 


•36379 .93H8 .39055 2.5605 
406 137 089 .5583 


.37999 .92499 4"o8i 24342 


.39608 .91822 43*36 2.3183 


40 


ai 


.38026 488 115 4322 


635 810 170 .3164 


39 


aa 


434 127 122 .5561 


053 477 149 4302 
080 466 183 .4282 


661 799 205 .3146 


38 


aa 


461 116 156 .5539 


688 787 239 .3127 


37 


34 


488 106 190 .5517 


107 455 217 4262 


7"5 775 274 .3109 


36 


as 


•36515 .93095 -39223 2.5495 


.38134 .92444 -41251 24242 


.39741 .91764 .43308 2.3090 


35 


a6 


542 084 257 .5473 


161 432 285 4222 


768 752 343 .3072 


34 


a7 


569 074 290 .5452 


188 421 319 4202 


795 741 378 .3053 


33 


as 


596 063 324 .5430 


215 410 353 4182 
241 399 387 4162 


822 729 412 .3035 


32 


a9 


623 052 357 .5408 


848 718 447 .3017 


31 


30 


.36650 .93042 .39391 2.5386 


.38268 .92388 4142 1 24142 


.39875 .91706 .43481 2.2998 


30 


31 


677 031 425 .5365 


295 377 455 4122 


902 694 516 .2980 


29 


32 


704 020 458 .5343 


322 366 490 .4102 


928 683 550 .2962 
955 671 585 .2944 


a8 


33 


731 010 492 .5322 


349 355 524 .4083 


27 


34 


758.92999 526 .5300 


376 343 558 4063 


982 660 620 .2925 


a6 


35 


•36785 .92988 .39559 2.5279 
812 978 593 .5257 


.38403 .92332 41592 24043 


.40008 .91648 .43654 2.2907 
035 636 689 .2889 


25 


36 


430 321 626 4023 


24 


37 


839 967 626 .5236 


456 310 660 .4004 
483 299 694 .3984 


062 625 724 .2871 


23 


38 


867 956 660 .5214 


088 613 758 .2853 


aa 


39 


894 945 694 .5193 


510 287 728 .3964 


115 601 793 .2835 


ai 


40 


.36921 .92935 .39727 2.5172 


.38537 92276 .41763 2.3945 


40141 .91590 43828 2.2817 


ao 


4X 


948 924 761 .5150 


564 265 797 .3925 


i68 578 862 .2799 


19 


4a 


975 913 795 .5 "9 


591 254 831 .3906 


195 566 897 .2781 


18 


43 


.37002 902 829 .5108 


617 243 865 .3886 


221 555 932 .2763 


17 


44 


029 892 862 .5086 


644 231 899 .3867 


248 543 966 .2745 


16 


45 


•37056 .92881 .39896 2.5065 


.38671 .92220 .41933 2.3847 


40275 .9153* 44001 2.2727 


»5 


46 


083 870 930 .5044 


698 209 968 .3828 


301 519 036 .2709 


14 


47 


no 859 963 .5023 


725 198 .42002 .3808 


328 508 071 .2691 


X3 


48 


137 849 997 5002 


752 186 036 .3789 


355 496 105 .2673 
381 484 140 .2655 


za 


49 


164 838 .40031 .4981 


778 175 070 .3770 


XI 


50 


.37191 .92827 40065 2.4960 


.38805 .92164 .42105 2.3750 


.40408 .91472 •44>75 2.2637 


10 


51 


218. 816 098 .4939 


832 152 139 .3731 


434 461 210 .2620 


9 


5a 


245 805 132 .4918 


859 141 173 •37'2 
886 130 207 .3693 


461 449 244 .2602 


8 


53 


272 794 166 4897 


488 437 279 .2584 


7 


54 


299 784 200 .4876 


912 119 242 .3673 


• 514 425 314 .2566 


6 


55 


.37326 .92773 40234 2.4855 


.38939 .92107 42276 2.3654 


.40541 .91414 .44349 2.2549 


5 


56 


353 762 267 4834 


966 096 310 .3635 


567 402 384 .2531 


4 


57 


380 751 301 .4813 


993 085 345 .3616 


594 390 418 .2513 


3 


58 


407 740 335 4792 


.39020 073 379 .3597 


621 378 453 .2496 
647 .366 488 .2478 


a 


59 


434 729 369 4772 


046 062 413 .3578 


X 


60 


.37461 .92718 .40403 2.4751 


.39073 .92050 42447 2.3559 


.40674 .91355 .44523 2.2460 





G08. Sin. Got. Tan. 


O08. Sin. Got. Tan. 


O08. Sin. Got. Tan. 


M. 



68° 



67° 



66° 



72 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

24° 26° 26° 



M. 
o 


Bin. Oos. tan. Got. 


Sin. Ooi. Tan. Got. 


Sin. Goi. Tan. Got. 


60 


.40674 .91355 .44523 2.2460 


.42262 .90631 .46631 2.1445 


43837 -89879 .48773 2.0503 
863 867 809 .0488 


z 


700 343 558 .2443 


288 618 666 .1429 


59 


a 


727 33« 593 -2425 
753 3>9 627 .2408 
780 307 662 .2390 


315 606 702 .1413 


889 854 845 .0473 


58 


3 


34' 594 737 .«396 


916 841 881 .0458 


57 


4 


367 582 772 .1380 


942 828 917 .0443 


56 


5 


.40806 .91295 .44697 2.2373 


42394 .90569 46808 2.1364 


43968 .89816 .489^3 2.0428 
994 803 989 .0413 


55 


6 


833 283 732 .2355 


420 557 843 .1348 


54 


7 


860 272 767 .2338 


446 545 879 .1332 


.44020 790 49026 .0398 


53 


8 


886 260 802 .2320 


473 532 9'4 .I3«5 


046 777 062 .0383 


52 


9 


913 248 837 .2303 


499 520 950 .1299 


072 764 098 .0368 


51 


zo 


.40939 .91236 .44872 2.2286 


42525 .90507 46985 2.1283 


44098 .89752 .49134 2.0353 


50 


ZI 


966 224 907 .2268 


552 495 47021 .1267 


124 739 170 -0338 


49 


za 


992 212 942 .2251 


578 483 056 .1251 


151 726 206 .0323 


48 


13 


.41019 200 977 .2234 


604 470 092 .1235 


177 713 242 .0308 


47 


14 


045 188 .45012 .2216 


631 458 ''128 .1219 


203 700 278 .0293 


46 


15 


.41072 .91176 .45047 2.2199 


426 J7 .90446 47163 2.1203 
683 433 '99 -"87 


.44229 .89687 49315 2.0278 


45 


z6 


098 164 082 .2182 


255 674 351 .0263 
281 662 387 .0248 


44 


17 


125 152 117 •2165 


709 421 234 .1171 


43 


z8 


151 140 152 .2148 


736 408 270 .1155 


307 649 423 .0233 


42 


19 


178 128 187 .2130 


762 396 305 .1139 


333 636 459 .0219 


41 


ao 


.41204 .91116 45222 2.21 13 


.42788 .90383 47341 2. II 23 
815 371 377 "07 


■44359 .89623 .49495 2.0204 
385 610 532 .0189 


40 


az 


231 104 257 .2096 


39 


aa 


2J7 092 292 .2079 
284 080 327 .2062 


841 358 412 .1092 


411 597 568 .0174 


38 


as 


867 346 448 .1076 


437 584 604 .0160 


37 


24 


310 068 362 .2045 


894 334 483 1060 


464 571 640 .0145 


36 


25 


•41337 -91056 45397 2.2028 


.42920 .90321 .475*9 2.1044 


44490 .89558 .49677 2.0130 


35 


a6 


363 044 432 .2011 


946 309 555 •JI028 


5'6 545 713 .0115 


34 


27 


390 032 467 .1994 


972 296 590 .1013 


542 532 749 .0101 


33 


a8 


416 020 502 .1977 


999 284 626 .0997 


568 519 786 .0086 


32 


29 


443 008 538 .i960 


43025 271 662 .0981 


594 506 822 .0072 


31 


30 


.41469 .90996 .45573 2.1943 


43051 .90259 .47698 2.0965 


44620 .89493 49858 2.0057 


30 


31 


496 984 608 .1926 


077 246 733 .0950 


646 480 894 .0042 


39 


32 


522 972 643 .1909 


104 233 769 .0934 


672 467 931 .0028 


a8 


33 


549 960 678 .1892 


130 221 805 .0918 


6^8 454 967 .0013 


27 


34 


575 948 7'3 .1876 


156 208 840 .0903 


724 441 .50004 1.9999 


a6 


35 


.41602 .90936 .45748 2.1859 


.43182 .90196 47876 2.0887 


.44750 .89428 .50040 1.9984 


25 


36 


628 924 784 .1842 


209 183 912 .0872 


776 415 076 .9970 


24 


37 


655 911 819 .1825 


235 171 948 .0856 


802 402 113 .9955 


23 


38 


681 899 854 .1808 


261 158 984 .0840 


828 389 149 .9941 


aa 


39 


707 887 889 .1792 


287 146 .48019 .0825 


854 376 185 .9926 


az 


40 


.41734 .90875 .45924 2. 1 77 J 


433«3 -90x33 48055 2.0809 


.44880 .89363 .50222 1.9912 


ao 


41 


760 863 960 .1758 


340 120 091 .0794 


906 350 258 .9897 


Z9 


4a 


787 851 995 .1742 


366 108 127 .0778 


932 3:^7 295 .9883 


18 


43 


813 839 46030 .1725 
840 826 065 .1708 


392 095 163 .0763 


958 324 33 « .9868 
984 311 368 .9854 


17 


44 


418 082 198 .0748 


z6 


45 


.41866 .90814 .46101 2.1692 


43445 .90070 .48234 2.0732 


45010 .89298 .50404 1.9840 


15 


46 


892 802 136 .1675- 


471 057 270 .0717 


036 285 441 .9825 


14 


47 


919 790 171 .1659 


497 045 306 .0701 


062 272 477 .9811 


13 


48 


945 778 206 .1642 


523 032 342 .0686 


088 259 514 .9797 


za 


49 


972 766 242 .1625 


549 019 378 .0671 


114 245 550 .9782 


zz 


50 


41998 .90753 46277 2.1609 


43575 90007 48414 2.0655 


45140 .89232 .50587 1.9768 


zo 


51 


.42024 741 312 .1592 


602 .89994 4JO .0640 
1 628 981 486 .0625 


166 219 623 .9754 


9 


52 


05« 729 348 .1576 


192 206 660 .9740 


8 


53 


077 7>7 383 .1560 


654 968 521 .0609 
680 956 557 .0594 


218 193 696 .9725 


7 


54 


104 704 418 .1543 


243 180 733 .9711 


6 


55 


.42130 .90692 .46454 2.1527 


.43706 .89943 48593 2.0579 


.45269 .89167 .50769 1.9697 


5 


56 


Ij6 680 489 .1510 
183 668 525 .1494 


733 930 629 .0564 


295 "53 806 .9683 


4 


57 


759 918 665 .0549 
785 905 701 .0533 


321 140 843 .9669 


3 


58 


209 655 560 .1478 


347 127 879 .9654 


a 


59 


235 643 595 .1461 


811 892 737 .0518 


373 114 916 .9640 


z 


60 


.42262 .90631 46631 2.1445 


43837 -89879 48773 2.0503 


.45399 .89101 .50953 1.9626 





Ooi. Bin. Oct. Tan. 


Gos. Sin. Got. Tan. 


Goi. ^'Sin. Got. Tan. 


M. 



65° 



64' 



63P 



NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

27° 280 29° 



78 



K. 


Sin. O09. Tao. Oot. 


Sin. Ooi. Tan. Oot. 


Sin. Oos. Tan. Oot. 


60 


o 


45399 -89101 .50953 1.9626 


.46947 .88295 .53171 1.8807 


.48481 .87462 .55431 1.8040 


I 


425 087 989 .9612 


973 281 208 .8794 


506 448 469 . 


8028 


59 


a 


451 074.51026 .9598 


999 267 246 .8781 


532 434 507 . 


8016 


58 


3 


477 061 063 .9584 


47024 254 283 .8768 


5J7 420 545 . 


8003 


57 


4 


503 048 099 .9570 


050 240 320 .8755 


583 406 583 . 


7991 


56 


5 


•45529 .89035 .51136 1.9556 


.47076 .88226 .53358 1.8741 


48608 .87391 .55621 I. 


7979 


55 


6 


554 021 173 .9542 
5S0 008 209 .9528 


loi 213 395 .8728 


634 377 659 . 


7966 


54 


7 


127 199 432 .8715 


659 363 697 . 
684 349 736 . 


7954 


53 


8 


606.88995 246 .9514 


153 185 470 .8702 


7942 


52 


9 


632 981 283 .9500 


178 172 507 .8689 


7»o 335 774 • 


7930 


51 


ID 


.45658 .88968 .51319 1.9486 


.47204 .88158 .53545 1.8676 


.48735 .87321 .55812 I. 


7917 


50 


II 


684 955 356 .9472 


229 144 582 .8663 


761 306 850 . 
786 292 888 . 


7905 


49 


12 


710 942 393 .9458 


255 130 620 .8650 


7893 


48 


13 


736 928 430 .9444 


281 117 657 .8637 


811 278 926 . 


7881 


47 


14 


762 915 467 .9430 


306 103 694 .8624 


837 264 964 . 


7868 


46 


15 


.45787 .88902 .51503 1.9416 
813 888 540 .9402 


.47332 .88089 .53732 1.8611 


.48862 .87250 .56003 I. 


7856 


45 


i6 


358 075 769 .8598 


888 235 041 , 


7844 


44 


17 


839 875 577 .9388 


383 062 807 .8585 


913 221 079 . 


7832 


43 


i8 


865 862 614 .9375 


409 048 844 .8572 


938 207 117 


.7820 


42 


19 


891 848 651 .9361 


434 034 882 .8559 


964 193 156 . 


.7808 


41 


ao 


45917 .88835 •5^688 1.9347 


.47460 .88020 .53920 1.8546 


48989 .87178 .56194 I. 


7796 


40 


21 


942 822 724 .9333 


486 006 957 .8533 


.49014 164 232 


7783 


39 


aa 


968 808 761 .9319 


511 .87993 995 .8520 


040 150 270 


7771 


38 


23 


994 795 798 .9306 
.46020 782 835 .9292 


537 979-54032 .8507 


065 136 309 


7759 


37 


24 


562 965 070 .8495 


. 090 121 347 


7747 


36 


25 


.46046 .88768 .51872 1.9278 


47588 .87951 .54107 1.8482 


491 1 6 .87107 .56385 I 


7735 


35 


a6 


072 755 909 .9265 


614 937 145 .8469 


141 093 424 


7723 


34 


27 


097 741 946 .9251 


639 923 183 .8456 


166 079 462 


.7711 


33 


28 


123 728 983 .9237 


665 909 220 .8443 


192 064 501 


.7699 


32 


29 


H9 715 52020 .9223 


690 896 258 .8430 


217 050 539 


.7687 


31 


30 


.46175 .88701 .52057 1. 9210 


.47716 .87882 .54296 1. 8418 


.49242 .87036 .56577 I 


7675 


30 


31 


201 688 094 .9196 


741 868 333 .8405 


268 021 6x6 


.7663 


29 


32 


226 674 131 .9183 


767 854 371 .8392 


293 007 654 


.7651 


28 


33 


252 661 168 .9169 


793 840 409 .8379 


318 .86993 693 


.7639 


2j 


34 


278 647 205 .9155 


818 826 446 .8367 


344 978 731 


.7627 


a6 


35 


46304 .88634 .52242 1. 9142 


47844 .87812 .54484 1.8354 


•49369 .86964 .56769 I 


.7615 


25 


36 


330 620 279 .9128 


869 798 522 .8341 


394 949 808 


.7603 


24 


37 


355 607 316 .9115 


895 784 560 .8329 


419 935 846 


7591 


23 


38 


381 593 353 ^lo* 


920 770 597 .8316 


445 921 885 


•7579 


aa 


39 


407 580 390 .9088 


946 756 635 .8303 


470 906 923 


.7567 


ai 


40 


.46433 .88566 .52427 1.9074 


.47971 .87743 .54673 1.8291 


.49495 .86892 .56962 I 


•7556 


ao 


41 


458 553 464 -9061 
484 539 501 .9047 


997 729 711 .8278 


521 878 .57000 


7544 


19 


42 


.48022 715 748 .8265 


546 863 039 


•7532 


18 


43 


510 526 538 .9034 


048 701 786 .8253 
073 687 824 .8240 


571 849 078 


.7520 


17 


44 


536 5*2 575 .9020 


596 834 116 


7508 


16 


45 


46561 .88499 .52613 1.9007 


.48099 .87673 .54862 1.8228 


.49622 .86820 .57155 I 


.7496 


15 


46 


587 485 650 .8993 
613 472 687 .8980 


124 659 900 .8215 


647 805 193 


.7485 


14 


47 


150 645 938 .8202 


672 791 232 


7473 


13 


48 


639 458 724 .8967 


175 631 975 .8190 


697 777 271 


.7461 


la 


49 


664 445 761 .8953 


201 617 .55013 .8177 


723 762 309 


.7449 


II 


50 


.46690 .88431 .52798 1.8940 


.48226 .87603 .550JI 1. 81 65 
252 589 089 .8152 


49748 .86748 .57348 I 


•7.437 


10 


51 


716 417 836 .8927 


773 733 386 


7426 


9 


52 


742 404 873 .8913 


277 575 127 .8140 


798 719 425 
824 704 464 


.7414 


8 


53 


767 390 910 .8900 


303 561 165 .8127 


7402 


7 


54 


793 377 947 -8887 


328 546 203 .8115 


849 690 503 


7391 


6 


55 


.46819 .88363 .52985 1.8873 


.48354 87532 .55241 1.8103 


.49874 .86675 .57541 I 


7379 


5 


56 


844 349 .53022 .8860 


379 518 279 .8090 


899 661 580 


7367 


4 


57 


870 336 059 .8847 


405 504 317 -8078 


924 646 619 


7355 


3 


58 


896 322 096 .8834 


430 490 355 .8065 


950 632 657 


7344 


a 


59 


921 308 134 .8820 


456 476 393 .8053 


975 617 696 . 


7332 


I 


60 


.46947 .88295 .53171 1.8807 


.48481 .87462 .55431 1.8040 


.50000 .86603 .57735 I. 


7321 





O08. Sin. Oot. Tan. 


Ooa. Sin. Oot. Tan. 


Oos. Sin. Oot. Tan. 



62° 



6P 



600 



7.4 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

300 310 320 



K. 


Sin. O08. Tan. Got. 


Sin. Ooi. Tan. Got. 


Sin. Gos. Tan. Got. 


60 


o 


.50000 .86603 .57735 1.7321 


.51504 .85717 .60086 1.6643 


.52992 .84805 .62487 1.6003 


z 


025 588 774 .7309 


529 702 126 .6632 


.530x7 789 527 .5993 


59 


2 


050 573 8>3 .7297 


554 687 165 .6621 


041 774 568 .5983 


58 


3 


076 559 851 .7286 


579 672 205 .6610 


066 759 608 .5972 


57 


4 


loi 544 890 .7274 


604 657 245 .6599 


09 « 743 649 .5962 


56 


5 


.50126 .86530 .57929 1.7262 


.51628 .85642 .60284 1.6588 


.53115 .84728 .62689 1.5952 


55 


6 


151 515 968 .7251 


653 627 324 .6577 


14D 7x2 730 .594X 


54 


7 


176 501 .58007 .7239 


678 612 364 .6566 


164 697 770 .593X 


53 


8 


201 486 046 .7228 


703 597 403 .6555 


X89 68x 8x1 .592X 


52 


9 


227 471 085 .7216 


728 582 443 .6545 


214 666 852 .59XX 


51 


ID 


.50252 .86457 .58124 1.7205 


•5>753 85567 .60483 1.6534 


.53238 .84650 .62892 1.5900 


50 


! II 


277 442 162 .7193 


778 55» 522 .6523 


263 635 933 .5890 


49 


1 12 


302 427 201 .7182 


803 536 562 .6512 


288 6x9 973 .5880 


48 


13 


327 413 240 .7170 


828 521 602 .6501 


312 604.630x4 .5869 


47 


14 


352 398 279 .7x59 


852 506 642 .6490 


337 588 055 .5859 


46 


15 


.50377 .86384 .58318 1.7147 


.5x877 .8549 X .60681 1.6479 


.53361 .84573 .63095 1.5849 


45 


x6 


403 369 357 .7136 


902 476 721 .6469 


386 557 X36 .5839 


44 


17 


428 354 396 .7124 


927 46X 761 .6458 
952 446 801 .6447 


4XX 542 177 .5829 


43 


z8 


453 340 435 -71 '3 


435 526 2x7 .5818 


42 


19 


478 325 474 .7102 


977 431 841 .6436 


460 51 X 258 .5808 


41 


20 


.50503 .86310 .58513 1.7090 


.52002 .854x6 .60881 1.6426 


.53484 .84495 -63299 1.5798 


40 


21 


528 295 552 .7079 


026 401 92X .6415 


509 480 340 .5788 


39 


22 


553 281 591 .7067 
578 266 631 .7056 
S03 251 670 .7045 


051 385 960 .6404 


534 464 380 .5778 


38 


23 


076 370.61000 .6393 


558 448 42X .5768 
583 433 462 .5757 


37 


24 


lox 355 040 .6383 


36 


25 


.50628 .86237 .58709 1.7033 


.52126 .85340 .6x080 x.6372 


.53607 .844x7 .63503 1.5747 


35 


26 


654 222 748 .7022 


X51 325 120 .6361 


632 402 544 .5737 


34 


27 


679 207 787 .7011 


X75 3x0 x6o .6351 


656 386 584 .5727 
68x 370 625 .57X) 


33 


28 


704 192 826 .6999 


200 294 200 .6340 


32 


29 


729 178 865 .6988 


225 279 240 .6329 


705 355 666 .5707 


31 


30 


.50754 .86163 .58905 1.6977 


.52250 .85264 .61.280 1.63x9 


•53730 .84339 .63707 1-5697 


30 


31 


779 148 944 .6965 


275 249 320 .6308 


754 324 748 .5687 


29 


32 


804 133 983 .6954 


299 234 360 .6297 


779 308 789 .5677 
804 292 830 .5667 


28 


33 


829 X 19 .59022 .6943 


324 2x8 400 .6287 


27 


34 


854 104 061 .6932 


349 203 440 .6276 


828 277 871 .5657 


26 


35 


.50879 .86089 .59101 1.6920 


.52374 .85x88 .6x480 X.6265 


.53853 •8426X .639x2 1.5647 


25 


36 


904 074 140 .6909 


399 173 520 .6255 


877 245 953 .5637 


24 


37 


929 059 179 .6898 


423 157 561 .6244 


902 230 994 .5627 


23 


38 


954 045 218 .6887 


448 X42 60X .6234 


926 2x4.64035 .56x7 


22 


39 


979 030 258 .6875 


473 127 641 .6223 


95 X X98 076 .5607 


21 


40 


.51004 .86015 .59297 1.6864 


.52498 .851x2 .61681 X.62X2 


.53975 -84182 .64x17 1.5597 


20 


41 


029 000 336 .6853 


522 096 72 X .6202 


.54000 167 X58 .5587 


19 


42 


054.85985 376 .6842 


547 o8x 76X .619X 


024 151 199 .5577 


18 


43 


079 970 415 .6831 


572 066 80X .6181 


049 X35 240 .5567 


17 


44 


104 956 454 .6820 


597 051 842 .6x70 


073 X20 28X .5557 


x6 


4^ 


.51129 .85941 .59494 1.6808 


.5262X .85035 .6x882 1.6x60 


.54097 .84104 .64322 X.5547 


15 


4i» 


154 926 533 .6797 


646 020 922 .6149 


X22 088 363 .5537 


14 


47 


179 9" 573 6786 


67 X 005 962* .6x39 


X46 072 404 .5527 


13 


48 


204 896 612 .6775 


696 .84989 .62003 .6128 


X7I 057 446 .55X7 


12 


49 


229 881 651 .6764 


720 974 043 .6x18 


X95 04X 487 .5507 


IZ 


50 


.51254.85866.59691 1.6753 


.52745 .84959 .62083 1.6x07 


.54220 .84025 .64528 1.5497 


zo 


51 


^79 851 730 .6742 


770 943 124 .6097 


244 009 569 .5487 


9 


52 


304 836 770 .6731 


794 928 X64 .6087 


269.83994 6X0 .5477 


8 


53 


329 821 809 .6720 


819 9x3 204 .6076 


293 978 652 .5468 


7 


54 


354 806 849 .6709 


844 897 245 .6066 


3x7 962 693 .5458 


6 


55 


•5»379 .85792 .59888 1.6698 


.52869 .84882 .62285 I 6055 


.54342 .83946 .64734 X.5448 


5 


56 


404 777 928 .6687 


. 893 866 325 .6045 


366 930 775 -5438 


4 


57 


429 762 967 .6676 


918 851 366 .6034 


391 915 8x7 .5428 
415 899 858 .54x8 


3 


58 


454 747 .60007 -6665 


943 836 406 .6024 


a 


59 


479 732 046 .6654 


967 820 446 .60x4 


440 883 899 .5408 


I 


60 


.51504 .85717 .60086 1.6643 


.52992 .84805 .62487 1.6003 


.54464 .83867 .64941 X.5399 




M. 


Ooi. Bin. Got. Tan. 


Gos. Sin. Got. Tan. 


Gos. Sin. Got. Tan. 



69° 



58P 



570 



NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 
330 . 340 36° 



76 



H. 



Sin. O08. Tan. Got. 


Sin. O08. Tan. Got. 


Sin. G08. Tan. Got. 


60 


.54464 .83867 .64941 1.5399 


.55919 .82904 .67451 1.4826 


•57358 .81915 .70021 1. 428 1 
381 899 064 4273 


X 


488 851 982 .5389 


943 887 493 .4816 


59 


a 


513 835.65024 .5379 


968 871 536 .4807 


405 882 107 .4264 


58 


3 


537 819 065 .5369 


992 855 578 4798 


429 865 151 .4255 


57 


4 


561 804 106 .5359 


.56016 839 620 4788 


453 848 194 4246 


56 


5 


.54586 .83788 .65148 1.5350 


.56040 .82822 .67663 1.4779 


.57477 81832 .70238 14237 


55 


6 


610 772 189 .5340 


064 806 705 4770 


501 815 281 .4229 


54 


7 


635 756 231 .5330 


088 790 748 4761 


524 798 325 -4220 


53 


8 


659 740 272 .5320 
683 724 314 .53" 


112 773 790 4751 


548 782 368 .4211 


52 


9 


136 757 832 4742 


572 765 412 .4202 


51 


10 


.54708 .83708 .65355 1.5301 


.56160 .82741 .67875 1.4733 


.57596.81748.70455 1 4193 


50 


zz 


732 692 397 .5291 
756 676 438 .5282 


184 724 917 4724 


619 731 499 4185 


49 


la 


208 708 960 4715 


643 714 542 4176 
667 698 586 .4167 


48 


13 


781 660 480 .5272 


232 692 .68002 .4705 


47 


14 


805 645 521 .5262 


256 675 045 .4696 


691 681 629 .4158 


46 


15 


.54829 .83629 .65563 1.5253 


.56280 .82659 .68088 14687 


.57715 .81664 .70673 1.4150 


45 


z6 


854 613 604 .5243 


305 643 130 4678 


738 647 717 4141 


44 


17 


878 597 646 .5233 


329 626 173 .4669 


762 631 760 .4132 


43 


z8 


902 581 688 .5224 


353 610 215 .4659 


786 614 804 .4124 


42 


19 


927 565 729 .5214 


377 593 258 .4650 


810 597 848 .4115 


41 


ao 


5495' 83549 .65771 1.5204 


.56401 .82577 .68301 1. 464 1 


.57833 .81580 .70891 1. 4106 


40 


az 


975 533 813 .5195 


425 561 343 4632 


857 563 935 4097 
881 546 979 .4089 


39 


aa 


999 5'7 854 -5185 


449 544 386 .4623 


38 


23 


.55024 501 896 .5175 


473 528 429 .4614 


904 530.71023 .4080 


37 


^4 


048 485 938 .5166 


.497 5" 471 -4605 


928 513 066 .4071 


36 


«5 


.55072 .83469 .65980 1.5156 


.56521 .8249^ .68514 1.4596 


.57952 .81496 .71110 1.4063 


35 


a6 


097 453.66021 .5147 


545 478 557 .4586 


976 479 "54 .4054 


34 


»7 


121 437 063 .5137 


569 462 600 .4577 


999 462 198 .4045 


33 


a8 


145 421 105 .5127 


593 446 642 4568 


.58023 445 242 4037 


32 


29 


169 405 147 .5118 


617 429 685 .4559 


047 428 285 .4028 


31 


30 


.55194 .83389 .66189 I '5 108 


.56641 .82413 .68728 1.4550 


.58070 .81412 .71329 1. 4019 


30 


31 


218 373 230 .5099 


665 396 77 « .4541 


094 395 373 .4011 


29 


32 


242 356 272 .5089 


689 380 814 4532 


118 378 417 .4002 


28 


33 


266 340 314 .5080 


713 363 857 4523 


141 361 461 .3994 


27 


34 


291 324 356 .5070 


736 347 900 45 «4 


165 344 505 .3985 


a6 


35 


•55315 83308 .66398 1.5061 


.56760 .82330 .68942 1.4505 


.58189 .81327 .71549 1.3976 


25 


36 


339 292 440 .5051 


784 314 985 4496 


212 310 593 .3968 


24 


37 


363 276 482 .5042 


808 297 .69028 .4487 


236 293 637 .3959 


23 


38 


388 260 524 .5032 


832 281 071 .4478 


260 276 681 .3951 


aa 


39 


412 244 566 .5023 


856 264 114 4469 


283 259 725 .3942 


az 


40 


•55436 .83228 .66608 1. 501 3 


.56880 .82248 .69157 1.4460 


.58307 .81242 .71769 1.3934 


ao 


41 


460 212 650 .5004 


904 231 200 4451 


330 225 813 .3925 
354 208 857 .3916 


19 


42 


484 195 692 4994 


928 214 243 4442 


z8 


43 


509 179 734 .4985 


952 198 286 .4433 


378 191 901 .3908 


17 


44 


533 163 776 .4975 


976 181 329 .4424 


401 174 946 .3899 


z6 


45 


•55557 '83147 .66818 1.4966 


.57000 .82165 .69372 1. 44 1 5 


.58425 .81157 .71990 1.3891 


15 


46 


581 131 860 .4957 


024 148 416 .4406 


449 140.72034 .3882 


M 


47 


605 115 902 4947 


047 132 459 4397 


472 123 078 .3874 


13 


48 


630 098 944 4938 


071 115 502 4388 


496 106 122 .3865 


za 


49 


654 082 986 .4928 


095 098 545 -4379 


519 089 167 .3857 


zz 


50 


.55678 .83066 .67028 1.4919 


.57119 .82082 .69588 1.4370 


.58543 .81072 .72211 1.3848 


zo 


51 


702 050 071 .4910 


143 065 631 4361 


567 055 255 .3840 


9 


52 


726 034 113 .4900 


167 048 675 .4352 


590 038 299 .3831 


8 


53 


750 017 155 .4891 


191 032 718 4344 


614 021 344 .3823 


7 


54 


775 001 197 .4882 


215 015 761 4335 


637 004 388 .3814 


6 


55 


.55799 .82985 .67239 1.4872 


.57238 .81999 .69804 1.4326 


.58661 .80987 .72432 1.3806 


5 


56 


823 969 282 4863 


262 982 847 .4317 


684 970 477 -3798 


4 


57 


847 953 324 .4854 


286 965 891 4308 


708 953 521 ^3789 


3 


58 


871 936 366 .4844 


310 949 934 .4299 


73" 936 565 ^3781 


a 


59 


895 920 409 .4835 


334 932 977 .4290 


755 919 610 .3772 


z 


60 


•55919 .82904 .67451 1.4826 


.57358 .81915 .70021 1.4281 


•58779 ^80902 .72654 1.3764 







OoB. Sin. Got. Tan. 


Goa. Sin. Got. Tan. 


O01. Sin. Got. Tan. 


M. 



66° 



66=' 



64- 



76 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

36° 37° 38P 



o 


Bin. OoB. Tan. Oct. 


Sin. OoB. Tan. Got. 


Sin. Goi. Tan. Got. 


60 


.58779 .80902 .72654 1.3764 


.60182 .79864 .75355 1.3270 


.61566 .78801 .78129 1.2799 


I 


802 885 699 .3755 


205 846 401 .3262 
228 829 447 .3254 


589 783 175 


.2792 


59 


2 


826 867 743 .3747 


612 765 222 


.2784 


58 


3 


849 850 788 .3739 


251 811 -492 .3246 


635 747 269 


.2776 


57 


4 


• 873 833 832 .3730 


274 793 538 .3238 


658 729 316 


.2769 


56 


5 


.5^8896 .80816 .72877 1.3722 


■60298 .79776 .75584 1.3230 


.61681 .78711 .78363 I 


.2761 


55 


6 


920 799 921 .3713 


321 758 629 .3222 


704 694 410 


•2753 


54 


7 


943 782 966 .3705 


344 741 675 .3214 


726 676 457 


■2746 


53 


8 


967 765. 73010 .3697 
990 748 055 .3688 


367 723 721 .3206 


749 658 504 


.2738 


52 


9 


390 706 767 .3198 


772 640 551 


.273« 


51 


zo 


.59014 .80730 .73100 1.3680 


.60414 .79688 .75812 1. 3190 


•61795 .78622 .78598 I 
818 604 645 


.2723 


50 


II 


037 713 144 -3672 


437 671 858 .3182 


.2715 
.2708 


49 


12 


061 696 189 .3663 


460 653 904 .3175 


841 586 692 


48 


13 


084 679 234 .3655 


483 635 950 .3167 


864 568 739 


.2700 


47 


14 


108 662 278 .3647 


506 618 996 .3159 


887 550 786 


.2693 


46 


15 


.59131 .80644 .73323 1.3638 


.60529 .79600 .76042 1.3151 


.61909 .78532 .78834 I 


.2685 


45 


i6 


154 627 368 .3630 


553 583 088 .3143 


932 514 881 


.2677 


44 


17 


178 610 413 .3622 


576 565 134 .3135 


955 496 928 


.2670 


43 


x8 


201 593 457 -3613 


599 547 180 .3127 


978 478 975 


.2662 


42 


19 


225 576 502 .3605 


622 530 226 .3119 


.62001 460 .79022 


.2655 


41 


20 


.59248 .80558 .73547 1.3597 


.60645 •795^2 .76272 1.3111 
668 494 318 .3103 


.62024 .78442 .79070 I 


.2647 


40 


21 


272 541 592 .3588 


046 424 117 


.2640 


39 


22 


295 524 637 .3580 


691 477 364 .3095 


069 405 164 


.2632 


38 


23 


318 507 681 .3572 


714 459 410 .3087 


092 387 212 


.2624 


37 


24 


342 489 726 .3564 


738 441 456 .3079 


"5 369 259 


.2617 


36 


25 


.59365 .80472 .73771 1.3555 


.60761 .79424 .76502 1.3072 


.62138.78351 .79306 1 


.2609 


35 


26 


389 455 816 .3547 


784 406 548 .3064 


160 333 354 


.2602 


34 


a7 


412 438 861 .3539 


807 388 594 .3056 


183 315 401 


.2594 


33 


28 


436 420 906 .3531 


830 371 640 .3048 


206 297 449 


.2587 


32 


29 


459 403 95 » -3522 


853 353 686 .3040 


229 279 496 


•2579 


31 


so 


.59482 .80386 .73996 1.35 14 


.60876 .79335 .76733 1.3032 


.62251 .78261 .79544 I 


•2572 


30 


31 


506 368.74041 .3506 


899 318 779 .3024 


274 243 591 


.2564 


29 


32 


529 351 086 .3498 


922 300 825 .3017 


297 225 639 


•2557 


28 


33 


552 334 131 .3490 


945 282 871 .3009 
968 264 918 .3001 


320 206 686 


•2549 


27 


34 


576 316 176 .3481 


342 188 734 


.2542 


26 


35 


.59599 .80299 .74221 1.3473 


.60991 .79247 .76964 1.2993 


.62365 .78170.79781 I 


■2534 


25 


36 


622 282 267 .3465 


.61015 229 .77010 .2985 


388 152 829 


.2527 


24 


37 


646 264 312 .3457 


038 211 057 .2977 


411 134 877 


.2519 


23 


38 


669 247 357 .3449 


061 193 103 .2970 


433 116 924 


.2512 


32 


39 


693 230 402 .3440 


084 176 149 .2962 


456 098 972 


.2504 


21 


40 


.59716 .80212 .74447 1.3432 


.61107 .79158 .77196 1.2954 


.62479 .78079 .80020 I 


■2497 


20 


41 


739 195 492 .3424 


130 140 242 .2946 


502 061 067 


.2489 


19 


42 


763 178 538 .3416 


153 122 289 .2938 


524 043 115 


.2482 


18 


43 


786 .160 58^ .3408 


176 105 335 .2931 


547 025 163 


•2475 


17 


44 


809 143 628 .3400 


199 087 382 .2923 


570 007 211 


•2467 


16 


45 


.59832 .80125 .74674 1.3392 


.61222 .79069 .77428 1. 29 1 5 


.62592 .77988 .80258 I 


.2460 


15 


46 


856 108 719 .3384 


245 051 475 .2907 


615 970 306 


.2452 


14 


47 


879 091 764 .3375 


268 033 • 521 .2900 


638 952 354 


■2445 


13 


48 


902 073 810 .3367 


291 016 568 .2892 


660 934 402 


2437 


12 


49 


926 056 855 .3359 


314 .78998 615 .2884 


683 916 450 . 


.2430 


ZI 


50 


.59949 .80038 .74900 1.335 1 


•61337 .78980 ,77661 1.2876 


.62706 .77897 .80498 I. 


2423 


ZO 


51 


972 021 946 .3343 


360 962 708 .2869 


728 879 546 . 


2415 


9 


52 


995 003 991 .3335 


383 944 754 .2861 


751 861 594 • 


2408 


8 


53 


.60019.79986.75037 .3327 


406 926 801 .2853 


774 843 642 . 


2401 


7 


54 


042 968 082 .3319 


429 908 848 .2846 


796 824 690 . 


2393 


6 


55 


•60065 .79951 .75128 1.3311 


.61451 .78891 .77895 1.2838 


.62819 .77806 .80738 I. 


2386 


5 


56 


089 934 173 .3303 


474 873 941 .2830 


842 788 786 . 


2378 


4 


57 


112 916 219 .3295 


497 855 988 .2822 


864 769 834 . 


2371 


3 


58 


135 899 264 .3287 


520 837 .78035 .2815 


887 751 882 . 


2364 


2 


59 


158 881 310 .3278 


543 819 082 .2807 


909 733 930 . 


2356 


z 


6o 


.60182 .79864 .75355 1.3270 


.61566 .78801 .78129 1.2799 


.62932 .77715 .80978 I. 


2349 







Ooi. Sin. Got. Tan. 


Ooi. Sin. Got. Tan. 


G08. Sin. Got. Tan. | 


M. 



530 



62< 



510 



NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

3QP 40° 4P 



77 



M. 

o 


Sin. Oos. Tan. Oot. 


Bin. Oos. Tan. 


Oot. 


Bin. Oos. Tan. 


Oot. 


60 


.62932 .77715 .80978 1.2349 


.64279 .76604 .83910 I. 


1918 


.65606 .75471 .86929 1. 


1504 


X 


955 696.81027 .2342 


301 586 960 . 


1910 


628 452 980 . 


'497 


59 


a 


977 678 075 .2334 


323 567.84009 . 


1903 


650 433.87031 • 


1490 


58 


3 


.63000 660 123 .2327 


346 548 059 . 


1896 


672 414 082 . 


1483 


57 


4 


022 641 171 .2320 


368 530 108 . 


1889 


694 395 ^33 . 


'477 


56 


5 


.63045 .77623 .81220 1.2312 
068 605 268 .2305 


•64390 -765" -84158 I- 


1882 


■657'6 .75375 .87'84 '• 


1470 


55 


6 


412 492 208 . 


\l^ 


738 356 236 . 


'463 


54 


7 


090 586 316 .2298 


435 473 258 . 


759 337 287 . 
781 318 338 . 
803 299 389 . 


1456 


53 


8 


113 568 364 .2290 


457 455 307 . 


1861 


1450 


52 


9 


135 550 413 2283 


479 436 357 • 


1854 


'443 


5' 


lO 

II 


.63158 .77531 .81461 1.2276 
180 513 510 .2268 


.64501 .76417 .84407 I. 
524 398 457 • 


1847 
1840 


.65825 .75280 .87441 I. 
847 261 492 . 


'436 
'430 


50 
49 


la 


203 494 558 .2261 


546 380 507 . 


1833 


869 241 543 . 


'423 


48 


13 


225 476 606 .2254 


568 361 556 . 


1826 


891 222 595 . 


1416 


47 


M 


248 458 655 .2247 


590 342 606 . 


1819 


913 203 646 . 


1410 


46 


15 


.63271 77439 .81703 1.2239 


.64612 .76323 .84656 I. 


1812 


.65935 .75'84 .87698 1. 


'403 


45 


i6 


293 421 752 .2232 


635 304 706 . 


1806 


956 165 749 . 


'396 


44 


17 


316 402 800 .2225 


657 286 756 . 
679 267 806 . 


1799 


978 146 801 . 


'389 


43 


IB 


338 384 849 .2218 


.1792 


.66000 126 852 . 


'383 


42 


19 


361 366 898 .2210 


701 248 856 . 


1785 


022 107 904 . 


'376 


41 


ao 


•63383 -77347 -81946 1.2203 


.64723 .76229 .84906 I. 


1778 


.66044 .75088 -87955 1. 


1369 


40 


ai 


406 329 995 .2196 


746 210 956 . 


1771 


066 069 .88007 . 


'363 


39 


aa 


428 310 .82044 .2189 


768 192 .85006 . 


1764 


088 050 o$9 . 


'356 


38 


23 


451 292 092 .2181 


790 173 057 


•1757 


109 030 110 . 


'349 


37 


24 


473 273 141 .2174 


812 154 107 . 


1750 


131 on 162 . 


'343 


36 


25 


.63496 .77255 .82190 1.2167 


.64834 .76135 .85157 1 
856 116 207 . 


1743 


.66153 .74992 .88214 1. 


'336 


35 


a6 


518 236 238 .2160 


'«736 


'75 973 265 . 


'329 


34 


27 


540 . 218 287 .2153 


878 097 257 


.1729 


'97 953 3'7 - 


'323 


33 


a8 


563 '99 336 .2145 


901 078 308 


.1722 


2' 8 934 369 . 


I3'6 


32 


29 


585 181 385 .2138 


923 059 358 


.1715 


240 915 421 . 


'3'o 


31 


30 


.63608 .77162 .82434 1.2131 


.64945 .76041 .85408 1 


1708 


.66262 .74896 .88473 I. 


'303 


30 


31 


630 144 483 .2124 


967 022 458 


.1702 


284 876 524 . 


1296 


29 


32 


653 125 53! .2117 


989 003 509 


.1695 
.1688 


306 857 576 . 
327 838 628 . 


1290 


a8 


33 


675 107 580 .2109 


.6501 1 .75984 559 


'283 


27 


34 


698 088 629 .2102 


033 965 609 


.1681 


349 818 680 . 


1276 


a6 


35 


.63720 .77070 .82678 1.2095 
742 051 727 .2088 


.65055 .75946 .85660 1 


.1674 


.66371 .74799 .88732 1. 


1270 


25 


36 


077 927 710 


.1667 


393 780 784 . 


1263 


24 


37 


765 033 776 .2081 


100 908 761 


.1660 


414 760 836 . 


1257 


23 


38 


787 014 825 .2074 


122 889 811 


.1653 


436 741 888 . 


1250 


aa 


39 


810 .76996 874 .«o66 


144 870 862 


.1647 


458 722 940 . 


'243 


ai 


40 


.63832 .76977 .82923 1.2059 


.65166 .75851 .85912 I 


.1640 


.66480 .74703 .88992 1. 


'237 


ao 


41 


854 959 972 .2052 


188 832 963 


.1633 


501 683.89045 . 


1230 


19 


42 


877 940 .83022 .2045 
899 921 071 .2038 


210 813 .86014 


.1626 


523 664 097 . 


1224 


18 


43 


232 794 064 


.1619 


545 .644 149 . 


1217 


17 


44 


922 903 120 .2031 


254 775 "5 


.1612 


566 625 201 . 


1211 


x6 


45 


.63944 .76884 .83169 1.2024 


.65276 .75756 .86166 1 


.1606 


.66588 .74606 .89253 I. 


1204 


'5 


46 


966 866 218 .2017 


298 738 216 


■1599 


610 586 306 . 


"97 


14 


47 


989 847 268 .2009 


320 719 267 . 


1592 


632 567 358 . 


1191 


13 


48 


.64011 828 317 .2002 


342 700 318 


.1585 


653 548 410 . 


1 184 


la 


49 


033 810 366 .1995 


364 680 368 . 


.1578 


675 528 463 . 


1178 


II 


50 


.64056 .76791 .83415 1. 1 988 


.65386 75661 .86419 I. 


1571 


.66697 .74509 .89515 1. 


1171 


10 


5X 


078 772 . 465 .1981 


408 642 470 . 


.1565 


718 489 567 . 


1 165 


9 


52 


100 754 514 .1974 


430 623 521 . 


1558 


740 470 620 . 


1158 


8 


53 


"3 735 564 .1967 


452 604 572 


'55' 


762 451 672 . 


1152 


7 


54 


»45 717 613 .1960 


474 585 623 . 


'544 


783 43' 725 - 


"45 


6 


55 


.64167 .76698 .83662 1. 1953 


.65496 .75566 .86674 1. 


'538 


.66805 .74412 .89777 I. 


"39 


5 


56 


190 679 712 .1946 


518 547 725  


'53' 


827 392 830 . 
848 373 883 . 


1132 


4 


57 


212 661 761 .1939 


540 528 776 . 


1524 


1126 


3 


58 


234 642 811 .1932 


562 509 827 . 


1517 


870 353 935 - 


1119 


a 


59 


256 623 860 .1925 


584 490 878 . 


1510 


89' 334 988 . 


1113 


I 


60 


.64279 .76604 .83910 1.1918 


.65606 .75471 .86929 I. 


1504 


.66913 .74314 .90040 I. 


1106 




H. 


Oot. Bin. Oot. Tan 


Oos. Bin. Oot. 


ran. 


Oos. Bin. Oot. 1 


ran. 



500 



49° 



48° 



78 NATURAL SINES, COSINES, TANGENTS, AND COTANGENTS. 

42° 43P 44° 






Sin. Goi. Tan. Got. 


Bin. Ooi. Tan. Got. 


Sin. Goa. Tan. Got. 


60 


.66913 .74314 .90040 I.I 106 


.68200.73135 .93252 1.0724 


.69466 .71934 .96569 1.0355 


I 


935 295 093 .1100 


221 116 306 .0717 


487 914 625 .0349 


59 


2 


956 276 146 .1093 


242 096 360 .0711 


508 894 681 .0343 


58 


3 


978 256 199 .1087 


264 076 415 .0705 


529 873 738 .0337 


57 


4 


999 237 251 .1080 


285 056 469 .0699 


549 853 794 .0331 


56 


5 


.67021 .74217 .90304 1. 1074 


.68306 .73036 .93524 "•0692 


.69570 .71833 .96850 1.0325 


55 


6 


043 198 357 -"067 


327 016 578 .0686 


591 813 907 .0319 


54 


7 


064 178 410 .1061 


349.72996 633 .0680 


612 792 963 X)3i3 


53 


8 


086 159 463 .1054 


370 976 688 .0674 


633 772 .97020 .0307 


52 


9 


107 139 51^ .1048 


391 957 742 .0668 


654 752 076 .0301 


51 


10 


.67129 .74120 .90569 1.1041 


.68412 .72937 .93797 '0661 


.69675 .7»732 .97133 1.0295 


50 


II 


151 100 621 •1035 


434 917 852 .0655 


696 711 189 .0289 


49 


12 


172 080 674 .1025 


455 897 906 .0649 


717 691 246 .0283 


48 


13 


194 061 727 .1022 


476 877 961 .0643 


737 671 302 .0277 


47 


14 


215 041 781 .1016 


497 857 .94016 .0637 


758 650 359 .0271 


46 


15 


.67237 .74022 .90834 1. 1009 


.68518 .72837 .94071 1.0630 


.69779 .71630 .97416 1.0265 


45 


i6 


258 002 887 .1003 


539 817 125 .0624 


800 610 472 .0259 


44 


17 


280 .73983 940 .0996 


561 797 180 .0618 


821 590 529 .0253 


43 


i8 


301 963 993 .0990 


582 777 235 .0612 


842 569 586 .0247 


42 


19 


323 944.91046 .0983 


603 757 290 .0606 


862 549 643 .0241 


4« 


20 


.67344 73924 -91099 1.0977 


.68624 .72737 .94345 1.0599 


.69883 .71529 .97700 1.0235 


40 


21 


366 904 153 .0971 


645 717 400 .0593 


904 508 756 .0230 


39 


22 


387 885 206 .0964 


666 697 455 .0587 


925 488 813 .0224 


3» 


23 


409 865 259 .0958 


688 677 510 .0581 


946 468 870 .0218 


37 


24 


430 846 313 .0951 


709 657 565 .0575 


966 447 927 .0212 


36 


25 


•67452 .73826 .91366 1.0945 


.68730 .72637 .94620 1.0569 


.69987 .71427 .97984 1.0206 


35 


26 


473 806 419 .0939 


751 617 676 .0562 


.70008 407 .98041 .0200 


34 


27 


495 787 473 .0932 


772 597 731 .0556 


029 386 098 .0194 


33 


28 


516 767 526 .0926 


793 577 786 .0550 


049 366 155 .0188 


32 


29 


538 747 580 .0919 


814 557 841 .0544 


070 345 213 .0182 


31 


30 


•67559 .73728 .91633 1.0913 


.68835 .72537 .94896 1.0538 


.70091 .71325 .98270 1.0176 


30 


31 


580 708 687 .0907 


857 5>7 952 .0532 


112 305 327 .0170 


29 


32 


602 688 740 .0900 


878 497 .95007 .0526 


132 284 384 .0164 


28 


33 


623 669 794 .0894 


899 477 062 .0519 


153 264 441 .0158 


27 


34 


645 649 847 .0888 


920 457 118 .0513 


174 243 499 .0152 


26 


35 


.67666 .73629 .91901 1. 088 1 


.68941 .72437 .95^73 1.0507 


.70195 .71223 .98556 1.0147 


25 


36 


688 610 955 .0875 


962 417 229 .0501 


215 203 613 .0141 


24 


37 


709 590 .92008 .0869 


983 397 284 .0495 


236 182 671 .0135 


23 


38 


730 570 062 .0862 


.69004 377 340 .0489 


257 162 728 .0129 


22 


39 


752 551 116 .0856 


025 357 395 -0483 


»77 141 786 .0123 


21 


40 


•67773 •73531 .92170 ^0850 


.69046 .72337 .95451 1.0477 


.70298.71121 .98843 1.0117 


20 


41 


795 511 224 .0843 


067 317 506 .0470 


319 100 901 .0111 


19 


42 


816 491 277 .0837 


088 297 562 .0464 


339 080 958 .0105 


18 


43 


837 472 331 •0831 


109 277 618 .0458 


360 059 .99016 .0099 


17 


44 


859 452 385 -0824 


130 257 673 .0452 


381 039 073 .0094 


16 


45 


.67880 .73432 .92439 1.0818 


.69151 .72236 .95729 1.0446 


.70401 .71019 .99131 1.0088 


15 


46 


901 413 493 .0812 


172 216 785 .0440 


422 .70998 189 .0082 


14 


47 


923 393 547 .0805 


193 196 841, .0434 


443 978 247 .0076 


13 


48 


944 373 601 .0799 


214 176 897 .0428 


463 957 304 .0070 


12 


49 


965 353 655 .0793 


235 156 952 .0422 


484 937 362 .0064 


II 


50 


.67987 .73333 .92709 1^0786 


.69256 .72136 .96008 1. 04 1 6 


.70505 .70916 .99420 1.0058 


ID 


51 


.68008 314 763 .0780 


277 116 064 .0410 


525 896 478 .0052 


9 


52 


029 294 817 .0774 


298 095 120 .0404 


546 875 536 .0047 


8 


53 


051 274 872 .0768 


319 075 176 .0398 


567 855 594 .0041 


7 


54 


072 254 926 .0761 


340 055 232 .0392 


587 834 652 .0035 


6 


55 


.68093 .73234 .92980 1.0755 


.69361 .72035 .96288 1.0385 


.70608 .70813 .99710 1.0029 


5 


56 


115 215 .93034 .0749 


382 015 344 .0379 


628 793 768 .0023 


4 


57 


136 195 088 .0742 


403.71995 400 .0373 


649 772 826 .0017 


3 


58 


157 175 143 .0736 


424 974 457 .0367 


670 752 884 .0012 


a 


59 


179 155 197 .0730 


445 954 5>3 .0361 


690 731 942 .0006 


I 


60 


.68200 .73135 .93252 1.0724 


.69466 .71934 .96569 1.0355 


.70711 .70711 1.0000 1.0000 




K. 


O08. Sin. Got. Tan. 


Gob. Sin. Got. Tan. 


Gos. Sin. Got. Tan. 



47' 



46° 



450 



AUXILIARY TABLE FOR SMALL ANGLES. 



79 





(P 




P 




2^ 


30 


4 


D 




K. 


Sin. 


Tan. 


Sin. 


Tan. 


Sin. 


Tan. 


Sin. 


Tan. 


Sin. 


Tan. 


K. 




4.68 


4.68 


4.< 


S8 


4.( 


i8 


4.< 


S8 


o 


5575 


5575 


5553 


5619 


5487 


5751 


5376 


5972 


5222 


6281 





z 


5575 


5575 


5552 


5620 


5485 


5754 


5374 


5976 


5219 


6287 


X 


2 


5575 


5575 


5551 


5622 


54^ 


5757 


5372 


5981 


5216 


6293 


a 


3 


5575 


5575 


5551 


5623 


5482 


5760 


5370 


5985 


5213 


6299 


3 


4 


5575 


5575 


5550 


5625 


5481 


5763 


5367 


5990 


5210 


6305 


4 


5 


5575 


5575 


5549 


5627 


5479 


5766 


5365 


5994 


5207 


631 1 


5 


6 


5575 


5575 


5548 


5628 


5478 


5769 


5363 


5999 


5204 


6317 


6 


7 


5575 


5575 


5547 


5630 


5476 


5773 


. 5361 


6004 


5201 


6323 


7 


8 


5574 


5576 


5547 


5632 


5475 


5776 


5358 


6008 


5198 


6329 


8 


9 


5574 


5576 


5546 


5633 


5473 


5779 


5356 


6013 


5195 


6335 


9 


xo 


5574 


5576 


5545 


5635 


5471 


5782 


5354 


6017 


5192 


6341 


xo 


IX 


5574 


5576 


5544 


5637 


.5470 


gii 


535 » 


6022 


5189 


6348 


XX 


12 


5574 


5577 


5543 


5638 


5468 


5349 


6027 


5186 


6354 


X2 


13 


5574 


5577 


5542 


5640 


5467 


5792 


5347 


6031 


5183 


6360 


13 


14 


5574 


5577 


5541 


5642 


5465 


5795 


5,344 


6036 


5180 


6366 


14 


15 


5573 


5578 


5540 


5644 


5463 


5798 


5342 


6041 


5177 


6372 


15 


x6 


5573 


5578 


5539 


5646 


5462 


5802 


5340 


6046 


5»73 


6379 


x6 


17 


5573 


5578 


5539 


5648 


5460 


l^ 


5337 


6051 


5170 


6385 


17 


x8 


5573 


5579 


5538 


5649 


5458 


5335 


6055 


5167 


6391 


x8 


19 


5573 


5579 


5537 


5651 


5457 


5812 


5332 


6060 


5164 


6398 


19 


30 


5572 


5580 


5536 


5653 


5455 


5815 


5330 


6065 


5161 


6404 


30 


ax 


5572 


5580 


5535 


5655 


5453 


5818 


5327 


6070 


5158 


6410 


ax 


22 


5572 


5581 


5534 


5657 


545 1 


5822 


5325 


6075 


5»54 


6417 


33 


23 


5572 


5581 


5533 


5659 


5450 


5825 


5322 


6080 


5'5i 


6423 


33 


24 


5571 


5582 


5532 


5661 


5448 


5829 


5320 


6085 


5148 


6430 


24 


25 


5571 


5583 


5531 


5663 


5446 


5833 


53'7 


6090 


5145 


6436 


25 


26 


5571 


5583 


5530 


1^ 


5444 


5836 


5315 


6095 


5141 


6443 


36 


27 


5570 


5584 


5529 


5443 


5840 


5312 


6100 


5138 


6449 


37 


28 


5570 


5584 


5527 


5670 


5441 


5843 


5310 


6105 


5»35 


6456 


38 


29 


5570 


5585 


5526 


5672 


5439 


5847 


5307 


61 10 


5'32 


6462 


29 


30 


5569 


5586 


5525 


5674 


5437 


5851 


5305 


6116 


5128 


6469 


30 


31 


5569 


5587 


5524 


5676 


5435 


5!54 


5302 


6121 


5«25 


6476 


31 


32 


5569 


5587 


5523 


5679 


5433 


5858 


5300 


6126 


5122 


6482 


33 


33 


5568 


5588 


5522 


5681 


543" 


5862 


5297 


6131 


5118 


6489 


33 


34 


55^ 


5589 


5521 


5683 


5430 


5866 


5294 


6136 


5"5 


6496 


34 


35 
36 


5567 
5567 


5590 
5591 


5520 
5518 


5688 


5428 
5426 


5869 
5873 


5292 
5289 


6142 
6147 


5112 
5108 


6503 
6509 


35 
36 


37 


5566 


5592 


5517 


5690 


5424 


5877 


5286 


6152 


5105 


6516 


37 


38 


5566 


5593 


5516 


5693 


5422 


5881 


5284 


6158 


5101 


6523 


38 


39 


5566 


5593 


5515 


5695 


5420 


5885 


5281 


6163 


5098 


6530 


39 


40 


5565 


5594 


SSH 


5697 


5418 


5889 


5278 


6168 


5095 


6537 


40 


41 


5565 


5595 


5512 


5700 


5416 


5893 


5276 


6174 


5°2i 


6544 


41 


42 


5564 


5596 


55" 


5702 


5414 


5897 


5273 


6179 


5088 


6551 


42 


43 


5564 


5598 


5510 


5705 


5412 


5900 


5270 


6185 


5084 


6557 


43 


44 


5563 


5599 


5509 


5707 


5410 


5905 


5268 


6190 


5081 


6564 


44 


45 


5562 


5600 


5507 


57»o 


5408 


5909 


5265 


6196 


5077 


6571 


45 


46 


5562 


5601 


5506 


57'3 


5406 


5913 


5262 


6201 


5074 


6578 


46 


47 


5561 


5602 


5505 


57'S 


5404 


59"7 


5259 


6207 


5070 


6585 


47 


48 


5561 


5603 


5503 


5718 


5402 


5921 


5256 


6212 


5067 


6593 


48 


49 


5560 


5604 


5502 


5720 


5400 


5925 


5254 


6218 


5063 


6600 


49 


50 


5560 


5605 


5501 


5723 


5398 


5929 


5251 


6224 


5060 


6607 


50 


51 


5559 


5607 


5499 


5726 


5396 


5933 


5248 


6229 


5056 


6614 


51 


52 


5558 


5608 


5498 


5729 


5394 


5937 


5245 


6235 


5053 


6621 


52 


53 


5558 


5609 


5497 


573» 


5392 


5942 


5242 


6241 


5049 


6628 


53 


54 


5557 


561 1 


5495 


5734 


5389 


5946 


5239 


6246 


5045 


6635 


54 


55 


5556 


5612 


5494 


5737 


5387 


5950 


5237 


6252 


5042 


6643 


55 


56 


5556 


5613 


5492 


5740 


5385 


5955 


5234 


6258 


5038 


6650 


56 


57 


5555 


5615 


5491 


5743 


5383 


5959 


5231 


6264 


5034 


6657 


57 


58 


5554 


5616 


5490 


5745 


5381 


5963 


5228 


6269 


5031 


6665 


58 


59 


5554 


5618 


5488 


5748 


5379 


5968 


5225 


6275 


5027 


6672 


59 

M. 


Sin. 


Tan. 


Sin. 


Tan. 


Sin. 


Tan. 


Sin. 


Tan. 


Sin. 


Tan. 



! 






I